The first few weird numbers are 70, 836, 4030, 5830, 7192, 7912, 9272, 10430, (OEIS A006037). An infinite number of weird numbers are known to exist, and the sequence of weird numbers has positive Schnirelmann density..
Considering this, why is 70 a weird number?
Weird numbers are natural numbers that are abundant but not semiperfect. For example, 70 is the lowest weird number, because its set of proper divisors {1,2,5,7,10,14,35} sum to 74, but no subset of its set of proper divisors sum to the number 70, and 70 is the smallest number to meet such conditions.
Additionally, what is the oddest odd number of them all? Its proper divisors are 1, 2, 5, 7, 10, 14, and 35; these sum to 74, but no subset of these sums to 70. The number 12, for example, is abundant but not weird, because the proper divisors of 12 are 1, 2, 3, 4, and 6, which sum to 16; but 2 + 4 + 6 = 12.
In this way, what is the most interesting number?
- One of the most interesting number is 3,628,800.
- 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800.
- Let us suppose there are 3,628,800 seconds.
- 3,628,800/60 = 60,480 minutes.
- 60,480/60 = 1,008 hours.
- 1,008/24 = 42 days.
- 42/7 = 6 weeks!
- Hence, 10! = 6 weeks (Number of seconds in 6 weeks)
Is 24 a special number?
It is a highly composite number, having more divisors than any smaller number. 24 is a semiperfect number, since adding up all the proper divisors of 24 except 4 and 8 gives 24.
Related Question Answers
What is the happiest number?
What is the happiest number between 1 and 1,000,000. I define the happiest number as the smallest number that finds the most other happy numbers with it, i.e. 7 found four other numbers (49, 97, 130, and 10) making it a rank 4 in happiness.What is the most mysterious number?
Mysterious number 6174. The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. But as we are about to see, anyone who can subtract can uncover the mystery that makes 6174 so special.What is cool number?
Problem. Very Cool Numbers. For a number X, let its "Coolness" be defined as the number of "101"s occurring in its binary representation. For example, the number 21 has Coolness 2, since its binary representation is 101012, and the string "101" occurs twice in this representation.What is a ghost phone number?
When a call is received by a phone with caller ID and no number is displayed, it is referred to as getting a call from a "ghost phone." The number is not displayed because it comes from a blocked or private number.Is 7 a happy number?
If for some , then the original integer is said to be happy. For example, starting with 7 gives the sequence 7, 49, 97, 130, 10, 1, so 7 is a happy number. The first few happy numbers are 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, 68, 70, 79, 82, 86, 91, 94, 97, 100, (OEIS A007770).Is 5555 a happy number?
You can find a lot of 'happy numbers' such as: 310, 70, 86, 130, 7, 5555, 1212, 13, 1000 and other numbers which are variations of these, e.g. swapping the numbers the other way around (13, 31) and adding zeros onto the end of numbers (31, 310). 22, 10, 1, 1,ldots so 22 is happy.Why is 28 a perfect number?
The number 28 is a perfect number, because its proper divisors sum up to give 28, and that is the definition of a perfect number.What is a sad number?
An unhappy number is a number that is not happy, i.e., a number such that iterating this sum-of-squared-digits map starting with never reaches the number 1. The first few unhappy numbers are 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 16, 17, 18, 20, (OEIS A031177).What is the most famous number?
What are the most favorite or most famous numbers? Try these out for size! The Greek letter pi represents a value of approximately 3.14159, the ratio between the circumference and diameter of a circle.What is the world's favorite number?
seven
What's the best number?
Sheldon: "The best number is 73. Why? 73 is the 21st prime number. Its mirror, 37, is the 12th and its mirror, 21, is the product of multiplying 7 and 3 and in binary 73 is a palindrome, 1001001, which backwards is 1001001."Is there a holy number?
Christianity. Christian denominations consider seven to be a holy number because Genesis says that God rested on the 7th day and man was created on the 6th day.What is the lucky number in the world?
The world's most popular lottery number is 11 – pushing 'lucky number seven' down to second place, according to a study. What is a unique number in math?
• 19 is the smallest number that is equal to the product of its digits plus the sum of its digits. 20 (unique numbers) • In a game of chess both players have 20 first moves from which to choose. • 20 is the smallest number that cannot be either prefixed or followed by one digit to form a prime. 21 (unique numbers)What is the best prime number?
are fulfilled, 5 is a good prime. 5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149 (sequence A028388 in the OEIS).What is special about 73?
"The Alien Parasite Hypothesis," the number 73 is actually pretty special. "73 is the 21st prime number," Sheldon explains. "Its mirror, 37, is the 12th and its mirror, 21, is the product of multiplying 7 and 3 and in binary 73 is a palindrome, 1001001, which backwards is 1001001."Is 0 an odd number or even?
Zero is an even number. In other words, its parity—the quality of an integer being even or odd—is even. This can be easily verified based on the definition of "even": it is an integer multiple of 2, specifically 0 × 2. In this sense, 0 is the "most even" number of all.How do you find abundant numbers?
In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number itself. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance.Is 9 lucky or unlucky number?
Many buildings in China skip a fourth floor, just as U.S. builders sometimes omit floor 13. 9: Just as the number four has a bad-luck soundalike in Chinese, 9 is feared in Japan because it sounds similar to the Japanese word for torture or suffering. 
