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Some interesting mathematical facts about the number 404:
- The factors of 404 are 1, 2, 4, 101, 202 and 404. Since 1 + 2 + 4 + 101 + 202 < 404, then 404 is a deficient number.
- 404 can be written as the sum of eight consecutive whole numbers: 47 + 48 + 49 + 50 + 51 + 52 + 53 + 54.
- 404 can be written as the sum of four consecutive even numbers: 98 + 100 + 102 + 104.
- 404 can be written as the sum of two consecutive odd numbers: 201 + 203.
- 404 cannot be written as the sum of consecutive prime numbers.
- Goldbach's Conjecture: Every even n > 2 is the sum of two primes.
404 can be written as the sum of two different prime numbers in eleven ways:
401 + 3 = 397 + 7 = 373 + 31 = 367 + 37 = 337 + 67 = 331 + 73 = 307 + 97 = 277 + 127 = 241 + 163 = 223 + 181 = 211 + 193.
- 404 can be written as the sum of two different square numbers in exactly one way: 400 + 4.
- 404 can be written as the sum of two different pentagonal numbers in exactly one way: 287 + 117.
- 404 can be written as the sum of eight consecutive pentagonal numbers: 5 + 12 + 22 + 35 + 51 + 70 + 92 + 117.
- 404 can be written as the sum of different heptagonal numbers in exactly two ways: 1 + 403 = 7 + 55 + 342.
- 404 can be written as the sum of different nonagonal numbers in exactly two ways: 46 + 154 + 204 = 9 + 24 + 46 + 325.
- If the hypotenuse of a right triangle has length 404 units, then the lengths of the legs of the triangle
are 80 and 396.
By Pythagorean Theorem, 802 + 3962 = 4042.
- A rectangle with length of units and width of units, has
a perimeter of 404 units and an area of 404 units 2.
- The "four fours" problem is a challenge to write any whole number using any mathematical operation AND
only four fours (i.e., no other numerals).
404 can be expressed as .
- 0.404404404404... = 404/999.
- 0.404040404040404... = 4040/9999.
- Here are the representations of 404 in different bases: 19416 = 6248 = 1100101002
- Here are the representations of 404 in different number systems:
404 in Roman numerals is CDIV
404 in Babylonian
Number System (base 60):
404 in Mayan Number System (base 20):
404 in
Egyptian hierglyphics:
404 in
traditional Chinese:
Email me here if you have any additional mathematical properties of the
number 404 that I can add to this page. Thank you.