13092
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
- 12
- Divisor Sum
- 30576
- Proper Divisor Sum (Aliquot Sum)
- 17484
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4360
- Möbius Function
- 0
- Radical
- 6546
- Omega Function (Ω)
- 4
- 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
- 138
- 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
- Sequence satisfies T^2(a)=a, where T is defined below.at n=49A027593
- Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity).at n=29A035141
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-2,2}.at n=13A079992
- Rewrite 0->100 in the binary expansion of n.at n=40A080303
- Number of all extensions over Q_3 with degree n in the algebraic closure of Q_3.at n=14A100977
- Numbers k such that 7*10^k + 6*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A103064
- Triangle of characteristic polynomials, see Mathematica code.at n=17A158391
- Number of irreducible binary polynomials Sum_{j=0..n} c(j)*x^j with c(1)=c(n-1)=1.at n=19A175390
- Numbers such that Liouville's function (A002819) and the little omega analog to Liouville's function (A174863) are equal.at n=24A224987
- Number of crossing partitions of {1,2,...,n} that contain singletons.at n=9A247494
- Positive even numbers which are neither of the form p + 2^m + 1 nor of the form p + 2^m - 1 with p prime.at n=16A270446
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 805", based on the 5-celled von Neumann neighborhood.at n=6A273603
- Number of odd chordless cycles in the n-antiprism graph.at n=18A301772
- a(n) = 9*n^2 + 21*n - 6 (n>=1).at n=36A304374
- Expansion of e.g.f. -(sec(x) + tan(x))*LambertW(-x).at n=6A306881
- a(n) = Sum_{k=0..n} |Stirling1(n+3*k,k)|.at n=2A392753