12460
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 17780
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 6230
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- Numerators of continued fraction convergents to sqrt(777).at n=5A042498
- E.g.f.: (exp(exp(x)-1)-1)^2.at n=7A052896
- Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k).at n=15A063968
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=39A066961
- Numbers n such that 6n and 12n are both the average of twin prime pairs.at n=23A177680
- Sophie Germain 5-almost primes.at n=19A211162
- Triangular array read by rows. T(n,k) is the number of simple labeled graphs on n nodes with no isolated nodes and exactly k components. n >= 2, 1 <= k < n/2.at n=14A218334
- Triangle read by rows: T(n,k) = ((Stirling2)^2)(n,k) * k!at n=22A233357
- Nonprimes such that it takes exactly 4 iterations of reverse-and-add digits to generate a prime.at n=25A245209
- Number of rooted unlabeled trees on n nodes where each node has at most 8 children.at n=13A292553
- Number of integer compositions of n that have only one part or whose consecutive parts are coprime and the last and first part are also coprime.at n=16A318748
- Number of compositions of n into parts with distinct multiplicities and with exactly seven parts.at n=43A321777
- Number of integer partitions of n having n - 1 different submultisets.at n=65A325836
- Irregular table read by rows: The number of k-faced polyhedra, where k >= 4, created when an n-bipyramid, formed from two n-gonal pyraminds joined at the base, is internally cut by all the planes defined by any three of its vertices.at n=39A338825
- Number of integer partitions of n with an alternating permutation.at n=36A345170
- Numbers k such that the odd part of sigma(sigma(k)) is equal to the odd part of sigma(k).at n=27A353365
- Irregular triangle read by rows: T(N,k) (0 <= k <= 4*N^2) are coefficients of cluster density function for site percolation on a 2*N X 2*N 2D union jack lattice with periodic boundary conditions.at n=11A365943