16216
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 30420
- Proper Divisor Sum (Aliquot Sum)
- 14204
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8104
- Möbius Function
- 0
- Radical
- 4054
- Omega Function (Ω)
- 4
- 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
- 159
- 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 for sigma-CrFe, Position Xc.at n=32A009961
- a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e., count each degree only once.at n=39A060437
- Matrix logarithm of triangle A107719, read by rows.at n=22A107724
- Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation pi is Sum_{k=1..n} (pi(k)-k)^2.at n=46A126972
- Number of degree n polynomials over GF(2) (with nonzero constant term) at Hamming distance 1 from some irreducible polynomial.at n=15A128901
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, -1, 0), (0, 1, -1), (1, 0, 1)}.at n=9A148921
- Second right hand column of the Beta triangle A160480.at n=21A160483
- Partial sums of A165271.at n=40A165273
- a(n) = 2^n - n*(n-2).at n=14A176776
- Number of nondecreasing strings of numbers x(i=1..n) in -4..4 with sum x(i)^3 equal to 0.at n=23A188272
- The Matula-Goebel numbers of the rooted trees that have palindromic Wiener polynomials.at n=18A198322
- Number of (n+1) X 5 0..1 matrices with each 2 X 2 subblock idempotent.at n=13A224546
- Numbers of the form (5^j + 7^k)/2, for j and k >= 0.at n=41A226792
- G.f.: Sum_{k>=0} A000009(k)^2 * x^k / Sum_{k>=0} A000041(k) * x^k.at n=49A305350
- Number of powerful uniform rooted trees with n nodes.at n=35A318689
- Number of integer partitions of n such that (length) * (maximum) <= 2*n.at n=47A361851