12714
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27552
- Proper Divisor Sum (Aliquot Sum)
- 14838
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3888
- Möbius Function
- 1
- Radical
- 12714
- Omega Function (Ω)
- 4
- 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
- 32
- 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
- a(n) = prime(n)*(prime(n-1)-1)/2.at n=35A014302
- Least k such that first k terms of A022300 contain n more 2's than 1's.at n=17A025515
- Euler transform of Thue-Morse sequence A001285.at n=23A029877
- Replace n with concatenation of its divisors.at n=13A037278
- McKay-Thompson series of class 18c for Monster.at n=19A058538
- Generalized q-Stirling 2nd numbers (see A022166):q=4;m=3; t1(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^(k - j)*Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].at n=9A156825
- Nonprime concatenations of divisors of some k, ordered by k.at n=9A176556
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=16A192087
- Number of (n+1)X(n+1) 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing.at n=2A204955
- Number of (n+1)X4 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing.at n=2A204957
- T(n,k) is the number of (n+1) X (k+1) 0..1 arrays with rows and columns of permanents of all 2 X 2 subblocks lexicographically nondecreasing.at n=12A204962
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|<|y-z|.at n=13A212681
- Numbers n such that Bernoulli number B_{n} has denominator 3318.at n=9A272383
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 318", based on the 5-celled von Neumann neighborhood.at n=26A287628
- Number of ways to choose a constant rooted partition of each part in a rooted partition of n.at n=21A301762
- Number of integer partitions of n whose multiplicities are weakly decreasing and span an initial interval of positive integers.at n=50A317082
- Square array read by antidiagonals upwards in which T(n,m) is the n-th number whose symmetric representation of sigma consists of m copies of unimodal pattern 121 (separated by 0's if m > 1).at n=13A372180