15114
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 33120
- Proper Divisor Sum (Aliquot Sum)
- 18006
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4560
- Möbius Function
- 1
- Radical
- 15114
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- Number of line-rooted projective plane trees with n nodes.at n=10A006081
- Numbers k such that 5*10^k + 2*R_k + 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A103010
- Triangle T(n, k) = k*(n-1)! - k!, read by rows.at n=30A137260
- Aliquot sequence starting at 3630.at n=6A143930
- a(n) = (n^4 + 16*n^3 + 65*n^2 + 26*n + 12)/12.at n=17A188480
- a(n) = 14*n^2 - 4*n.at n=33A195023
- G.f.: A(x) = exp( Sum_{n>=1} (Sum_{k=0..2*n} A027907(n,k)^2 * x^k / A(x)^k) * x^n/n ).at n=18A200377
- a(n) = n!/2 - (n-1)! - n + 2.at n=6A213168
- Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.at n=31A215836
- Triangle T(n,k) in which n-th row lists the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n).at n=31A216349
- Triangle T(n,k) in which n-th row lists in increasing order the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n).at n=26A216350
- Number of (n+2)X4 0..2 matrices with each 3X3 subblock idempotent.at n=13A224600
- p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - S^3 - S^6.at n=18A291407
- Starts of runs of 3 consecutive positive negaFibonacci-Niven numbers (A331085).at n=36A331087
- E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(x * A(x)^2).at n=6A356786
- Index of first occurrence of n in A375277, or -1 if n does not appear there.at n=20A377841