3717
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 2523
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2088
- Möbius Function
- 0
- Radical
- 1239
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 131
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- -1 + number of partitions of n.at n=28A000065
- Number of partitions of n in which no parts are multiples of 3.at n=37A000726
- Number of walks on cubic lattice.at n=20A005570
- a(n) is the number of permutations w of 1,2,...,n such that both w and w^{-1} are alternating.at n=11A007999
- Coordination sequence T2 for Zeolite Code SGT.at n=38A008230
- Coordination sequence T4 for Zeolite Code CON.at n=43A009871
- Coordination sequence T5 for Zeolite Code CON.at n=43A009872
- Coordination sequence T7 for Zeolite Code CON.at n=43A009874
- a(n) = n*(23*n - 1)/2.at n=18A022280
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=37A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=40A025407
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=9A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=9A025413
- a(n) = sum of the numbers between the two n's in A026358.at n=31A026361
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 8 (most significant digit on right and removing all least significant zeros before concatenation).at n=5A029525
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 5).at n=40A035557
- Starting positions of strings of 2 4's in the decimal expansion of Pi.at n=34A050230
- Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition.at n=18A057949
- Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition.at n=16A057950
- Multiples of 9 containing only odd digits.at n=43A061817