14976
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 46410
- Proper Divisor Sum (Aliquot Sum)
- 31434
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 10
- Little Omega Function (ω)
- 3
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
- 27
- 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
- Related to cumulative height of rooted plane trees.at n=8A000758
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=26A002413
- Values of phi(k) when phi(k) = phi(k+1).at n=23A003275
- Theta series of direct sum of 5 copies of hexagonal lattice.at n=5A008656
- Number of intersection points of diagonals of an n-gon in general position, plus number of vertices.at n=26A014626
- Number of primitive polynomials of degree n over GF(5).at n=8A027741
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=30A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=36A028688
- 25-factorial numbers.at n=2A028694
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 25 (most significant digit on left).at n=18A029494
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=30A029720
- 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 61.at n=26A031559
- One sixth of deca-factorial numbers.at n=3A035275
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=34A046314
- Expansion of (1-x)(1+x)/(1 - x - x^2 - x^3 + x^5).at n=18A052977
- Triangle of numbers T(n,k) = T(n-1,k-1) + ((n+k-1)/k)*T(n-1,k), n >= 1, 1 <= k <= n, with T(n,1) = n!, T(n,n) = 1; read from right to left.at n=34A059369
- a(n) = (n-1)! + ((n+1)/2)*a(n-1), a(1)=0.at n=6A059371
- Numbers k such that sopf(k) = d(k) where d(k) = A001223(k) and sopf(k) = A008472(k).at n=30A064010
- Numbers k such that k^2 + 1 is composite and phi(k^2 + 1) == 0 (mod k).at n=29A067519
- Numbers k such that phi(k) = 2*tau(k)^2.at n=21A068564