12874
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19908
- Proper Divisor Sum (Aliquot Sum)
- 7034
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6240
- Möbius Function
- -1
- Radical
- 12874
- Omega Function (Ω)
- 3
- 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
- 76
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=19A020398
- Numbers n such that A078142(n) = A078142(n+1) = A078142(n+2), where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=8A073938
- Row sums in triangle A081994.at n=20A081997
- 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), (1, 0, 1), (1, 1, -1)}.at n=8A149398
- Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.at n=31A176002
- Number of 6-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=6A187589
- Integers k such that for all i > k the largest prime factor of i(i+1)(i+2)(i+3)(i+4)(i+5)(i+6) exceeds the largest prime factor of k(k+1)(k+2)(k+3)(k+4)(k+5)(k+6).at n=15A193948
- Number of cyclotomic cosets of 13 mod 10^n.at n=40A221855
- Number of n X 5 0..1 arrays with rows nondecreasing and antidiagonals unimodal.at n=5A224130
- T(n,k)=Number of nXk 0..1 arrays with rows nondecreasing and antidiagonals unimodal.at n=50A224133
- Number of 6 X n 0..1 arrays with rows nondecreasing and antidiagonals unimodal.at n=4A224137
- Number of distinct values of the sum of i^2 over 9 realizations of i in 0..n.at n=38A225276
- Partial sums of A073602.at n=36A259035
- Number of partitions of n containing no parts that are powers of 2 with positive exponent.at n=48A276431
- Numbers k such that Bernoulli number B_{k} has denominator 498.at n=20A282773
- E.g.f.: exp( Sum_{n>=1} sigma(n!) * x^n/n! ).at n=6A294346
- Numbers k such that k^2+1, (k+2)^2+1 and (k+6)^2+1 are prime.at n=24A302021
- Standard composition numbers of compositions whose maximal runs all belong to {(1), (2,2), (3,3,3), ...}.at n=21A389530