16014
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 34128
- Proper Divisor Sum (Aliquot Sum)
- 18114
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 1
- Radical
- 16014
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Even 9-gonal (or enneagonal) numbers.at n=34A028992
- Numbers n such that n | 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n + 1^n.at n=40A056751
- Enneagonal numbers for which the product of the digits is also an enneagonal number.at n=21A117052
- T(n,k) = [x^k] Product_{m=1..n} d/dx Sum_{i=1..m} x^i; triangle read by rows, n >= 0, 0 <= k <= A161680(n).at n=49A139769
- Numbers n such that 10^n - 63 is prime.at n=15A178433
- Triangle T(n,m) = coefficient of x^n in the Taylor expansion of [(1-(1-8*x)^(1/4))/(1+(1-8*x)^(1/4))]^m.at n=31A202550
- Numbers n such that n+(n+1), n^2+(n+1)^2, n+(n+1)^2, n^2+(n+1) are all prime.at n=23A216270
- Expansion of (1+x-x^2)/((1-x)*(1-3*x^2-x^3)).at n=15A217733
- Number of permutations of [n] having a shortest ascending run of length 6.at n=10A228673
- Number of partitions of n such that the multiplicity of the number of parts is a part.at n=49A240499
- Number of partitions of n such that the number of parts having multiplicity >1 is a part and the number of distinct parts is a part.at n=43A241409
- Numbers k such that 9*10^k - 19 is prime.at n=21A293278
- a(n) is the number of distinct pairs that can be made in exactly n iterations of either of the two maps (x, y) -> (x OR (2^y), 0) or (x, y) -> (x, y+1), starting from (0,0).at n=33A353150