13074
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26160
- Proper Divisor Sum (Aliquot Sum)
- 13086
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4356
- Möbius Function
- -1
- Radical
- 13074
- Omega Function (Ω)
- 3
- 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
- 107
- 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
- Convolution of natural numbers with composite numbers.at n=34A023539
- Numbers n such that n and the n-th prime have the same digits.at n=40A074350
- Coefficients of derivatives of MacMahon polynomials (A060187): p(x,n)=2^n*(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2]; p'(x,n)=(d/dx)p{x,n).at n=26A142707
- G.f.: A(x) = exp( 6*Sum_{n>=1} A006519(n)*A038500(n) * x^n/n ).at n=9A162583
- Number of ways to place 4 nonattacking amazons (superqueens) on an n X n board.at n=7A173214
- Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.at n=22A217018
- Expansion of Product_{k>=1} 1/(1 - x^k)^(sigma_5(k)).at n=5A301543
- a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^sigma_n(k).at n=5A319647
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 - x^j)^sigma_k(j).at n=60A321876
- The number of vertices formed on an isosceles triangle by straight line segments mutually connecting all vertices and all points that divide the two equal length sides into n equal parts; the base of the triangle contains no points other than its vertices.at n=15A333026
- Number of 3-regular cubic partitions of n.at n=31A335602
- The fixed points of A355702.at n=32A356017
- Number of edges in a hexagon when n internal hexagons are drawn between the 6n points that divide each side into n+1 equal parts.at n=33A357198
- Number of multisets whose right half (inclusive) sums to n.at n=25A360671
- Numbers k such that the number of divisors of k^2 equals the number of divisors of phi(k), where phi is the Euler totient function.at n=43A363059
- Lesser of 2 successive sphenic numbers (k, k+4) sandwiching 3 consecutive nonsquarefree numbers.at n=21A363830
- Number of integer compositions of n whose leaders of maximal strictly increasing runs sum to 2.at n=37A374705