12351
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 4929
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7832
- Möbius Function
- -1
- Radical
- 12351
- 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
- 143
- 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
- no
- Odd
- yes
Appears in sequences
- Number of ways of placing n labeled balls into n unlabeled (but 3-colored) boxes.at n=6A027710
- Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).at n=21A039752
- Number of partitions satisfying cn(0,5) < cn(2,5) + cn(3,5).at n=34A039841
- Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=0A045080
- a(n) = binomial(n,0) - binomial(n,2) + binomial(n,4).at n=25A058923
- Numbers k such that sopf(k) = sopfr(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k).at n=22A064678
- Cube of lower triangular matrix of A056857 (successive equalities in set partitions of n).at n=21A078938
- Numbers k such that 2^k + 3^(k-1) is prime.at n=47A082400
- Diagonal sums of A103462.at n=14A103481
- Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n.at n=24A121346
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1100-1111 pattern in any orientation.at n=14A146228
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1000-1111-0100 pattern in any orientation.at n=9A146412
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 10000-11111-00001 pattern in any orientation.at n=11A147074
- Smallest number m such that exactly n odd numbers can be seen as proper subsequences of m in decimal representation.at n=27A164766
- Mountain nonprimes.at n=45A182776
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals upwards, where the e.g.f. of column k is exp(k*(e^x-1)).at n=48A189233
- Number of isomorphism classes of nanocones with 3 pentagons and a symmetric boundary of length n.at n=47A197988
- Number of partitions p of n such that max(p) - 2*min(p) is a part of p.at n=41A238626
- Number of (n+2) X (7+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.at n=38A255800
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood.at n=26A269912