4037
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4416
- Proper Divisor Sum (Aliquot Sum)
- 379
- 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
- 3660
- Möbius Function
- 1
- Radical
- 4037
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 113
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Column of Motzkin triangle.at n=6A005325
- Coordination sequence T4 for Zeolite Code MOR.at n=41A008185
- Coordination sequence T3 for Zeolite Code NON.at n=38A008214
- A015938(n)-2^n.at n=48A015939
- Coordination sequence T2 for Zeolite Code CGF.at n=44A019452
- Fibonacci sequence beginning 1, 6.at n=15A022096
- a(n) = T(n, n-4), T given by A026552. Also a(n) = number of integer strings s(0),...,s(n) counted by T, such that s(n)=4.at n=8A026557
- Molien series for full 8 X 8 Siegel modular group H_3 of order 371589120.at n=34A027633
- Coordination sequence T2 for Zeolite Code CFI.at n=42A033600
- Number of partitions of n into parts not of the form 25k, 25k+12 or 25k-12. Also number of partitions with at most 11 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=29A036011
- Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,1.at n=7A037536
- Expansion of Molien series for 8-dimensional complex Clifford group of genus 3 and order 743178240.at n=17A039946
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=1A045232
- Coordination sequence T3 for Zeolite Code DON.at n=43A047955
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=23A050963
- Number of proper T_1-hypergraphs with 3 labeled nodes and n hyperedges.at n=11A056078
- Numbers k such that the base-3 expansions of 2^k and 2^(k+1) have the same number of 1's and the same number of digits.at n=46A056735
- Numbers k such that k*2^m+1 is prime for exactly one exponent m in the range 0<=m<=k.at n=35A061155
- Number of ways to write n as sum of prime powers p^e such that e>0 and p does not divide n.at n=54A079412
- Enumeration of partial sums of 1 + [1,2] + [2,3] + [1,2] + [2,3] + ...at n=25A089640