12954
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27648
- Proper Divisor Sum (Aliquot Sum)
- 14694
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 1
- Radical
- 12954
- 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
- 50
- 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
- Fibonacci sequence beginning 2, 20.at n=15A022372
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=27A067374
- Numbers k such that phi(k) divides sigma(k+1) - sigma(k).at n=36A072611
- Sum of squares of digits of n is equal to the largest prime factor of n.at n=32A074302
- Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.at n=22A114169
- a(n) = sum of n successive primes after the n-th prime.at n=41A131740
- a(n) = Sum_{k=0..n} binomial(2^k + n-k-1, n-k); equals the row sums of triangle A137153.at n=8A137154
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, 0), (0, 1, 1), (1, -1, -1)}.at n=10A148310
- Numbers k such that 3*6^k - 1 is prime.at n=30A186106
- T(n,k) = count of degree k monomials in the complete homogeneous symmetric polynomials h(mu,k) summed over all partitions mu of n.at n=18A209666
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4>x^4+y^4.at n=35A211653
- Number of nX4 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X5 binary array having a sum of zero, with rows and columns of the latter in lexicographically nondecreasing order.at n=6A227123
- T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of zero, with rows and columns of the latter in lexicographically nondecreasing order.at n=48A227125
- T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of zero, with rows and columns of the latter in lexicographically nondecreasing order.at n=51A227125
- Number of (n+1)X(3+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=4A251287
- Number of (n+1)X(5+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=2A251289
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=23A251292
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=25A251292
- Number A(n,k) of partitions of n where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=61A261718
- Number of partitions of n where each part i is marked with a word of length i over a quaternary alphabet whose letters appear in alphabetical order.at n=6A261738