4016
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 7812
- Proper Divisor Sum (Aliquot Sum)
- 3796
- 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
- 2000
- Möbius Function
- 0
- Radical
- 502
- Omega Function (Ω)
- 5
- 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
- 69
- 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
- Number of partially labeled rooted trees with n nodes (4 of which are labeled).at n=2A000525
- Number of Hamiltonian paths in C_4 X P_n.at n=3A003752
- Coordination sequence T2 for Zeolite Code YUG.at n=41A008248
- Triangle read by rows: T(n,k) is the number of partially labeled rooted trees with n vertices, k of which are labeled, 0 <= k <= n.at n=25A008295
- Number of triples of different integers from [ 2,n ] with no common factors between pairs.at n=44A015620
- Fibonacci sequence beginning 2, 16.at n=13A022370
- Expansion of 1/((1-2x)(1-3x)(1-7x)(1-10x)).at n=3A025945
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 4).at n=39A035551
- Number of partitions of n into parts not of form 4k+2, 12k, 12k+5 or 12k-5.at n=50A036019
- Number of partitions satisfying (cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=31A036801
- Coordination sequence T1 for Zeolite Code AFN.at n=45A038403
- Numbers k such that the string 1,6 occurs in the base 10 representation of k but not of k-1.at n=44A044348
- Starting positions of strings of 2 5's in the decimal expansion of Pi.at n=39A050238
- Positions in decimal expansion of Pi where next prime begins.at n=29A053013
- Numbers k such that phi(x) = k has exactly 5 solutions.at n=44A060668
- Number and its reversal are both multiples of 8.at n=45A062900
- Non-palindromic number and its reversal are both multiples of 8.at n=30A062911
- a(n) = n*(7*n^2-4)/3.at n=12A063521
- Triangle with T(n,k) = k*E(n,k) where E(n,k) are Eulerian numbers A008292.at n=43A065826
- Interprimes which are of the form s*prime, s=16.at n=7A075291