12977
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 703
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12276
- Möbius Function
- 1
- Radical
- 12977
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Composite n such that phi(n) * sigma(n) is one less than a square.at n=36A015709
- Odd composite n such that phi(n) * sigma(n) is one less than a square.at n=14A015722
- Concatenation of prime factors of n is a cube.at n=6A038841
- Number of unconstrained walks on square lattice trapped after n steps.at n=12A078528
- Floor(n^3/8).at n=47A081276
- a(n) = A088314(n) - A000009(n).at n=46A088571
- Row sums of triangle A091499, in which A091499(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-1).at n=23A091501
- Matrix square of triangle A107876; equals matrix product of triangles: A107876^2 = A107862^-1*A107870 = A107867^-1*A107873.at n=49A107880
- a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + Sum_{j=1..2^m} a(j).at n=39A139485
- a(n) = 36*n^2 - n.at n=18A157286
- a(n) = 361*n^2 - 19.at n=5A158595
- Triangle read by rows: number of set partitions of n elements with k circular connectors.at n=61A185983
- Number of n-digit 10th powers.at n=47A216654
- Fundamental discriminants of real quadratic number fields with class number 7.at n=33A218157
- a(n) = floor((n + 1/2)^3).at n=23A219085
- Number of partitions p of n such that the multiplicity of the mean of p is a part of p.at n=57A240491
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 245", based on the 5-celled von Neumann neighborhood.at n=26A271006
- Numbers k such that k!6 + 8 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=17A288152
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-3) + b(n-2), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.at n=15A295617
- Composite numbers k such that phi(k) * psi(k) + 1 is a perfect square, where phi is the Euler totient function (A000010) and psi is the Dedekind psi function (A001615).at n=29A309653