4156
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7280
- Proper Divisor Sum (Aliquot Sum)
- 3124
- 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
- 2076
- Möbius Function
- 0
- Radical
- 2078
- Omega Function (Ω)
- 3
- 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
- 64
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Zeolite Code AST.at n=47A008036
- Coordination sequence T2 for Zeolite Code AWW.at n=46A008046
- a(n) = ((n+1)-st Fibonacci number) - (n-th non-Fibonacci number).at n=17A014241
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among triples.at n=18A015649
- Poincaré series [or Poincare series] for depths of roots in a certain root system.at n=12A019526
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=45A023175
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 32.at n=33A031530
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=5A031812
- Number of partitions in parts not of the form 11k, 11k+1 or 11k-1. Also number of partitions with no part of size 1 and differences between parts at distance 4 are greater than 1.at n=40A035944
- Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=31A035965
- Numerators of continued fraction convergents to sqrt(778).at n=4A042500
- Numbers whose base-7 representation contains exactly three 5's.at n=29A043415
- Numbers whose base-4 representation contains exactly four 0's and one 1.at n=32A045034
- Numbers whose base-4 representation contains exactly four 0's and no 2's.at n=33A045057
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=7A045083
- Numbers k such that 285*2^k-1 is prime.at n=29A050901
- Inverse Moebius transform of A000029 (starting at term 0).at n=17A054155
- McKay-Thompson series of class 10B for the Monster group with a(0) = 0.at n=18A058098
- Number of directed cycles of B-trees of order 3 with n labeled leaves.at n=15A058519
- Number of orbits of length n under the automorphism of the 3-torus whose periodic points are counted by A001945.at n=42A060169