12614
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23328
- Proper Divisor Sum (Aliquot Sum)
- 10714
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 1
- Radical
- 12614
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- Expansion of 1/((1-6x)(1-8x)(1-9x)(1-11x)).at n=3A028211
- Numbers k such that 139*2^k + 1 is prime.at n=3A032419
- Numerators of continued fraction convergents to sqrt(205).at n=6A041380
- Number of 2n-bead balanced binary necklaces which are equivalent to their reverse, but not equivalent to their complement and reversed complement.at n=17A045676
- Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, but not equivalent to their complement and reversed complement.at n=17A045685
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=18A063969
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both semiprime.at n=22A085774
- Triangle T(n, k) read by rows; given by [1, 0, 0, 0, 0, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.at n=26A085792
- Smallest k such that k*Mersenne_prime(n)^2 -1 (or k*A000668(n)^2 -1) is prime.at n=26A098818
- Unlabeled analog of A025168.at n=11A103446
- Site percolation series for 4.8 (bathroom tile) lattice.at n=33A120557
- a(n) = least k such that the remainder when 27^k is divided by k is n.at n=42A128367
- a(n) = 841*n - 1.at n=14A158402
- Number of n-leaf binary trees that do not contain (((()())())(()(()()))) as a subtree.at n=10A159769
- First differences of the binomial transform of the partition numbers (A000041).at n=11A218482
- The number of partitions of n which represent Chomp positions with Sprague-Grundy value 3.at n=54A284689
- Numbers k such that k and k + 1 are both lazy-Lucas-Niven numbers (A351719).at n=28A351720
- Expansion of e.g.f. exp( 2 * x * (exp(x) - 1) ).at n=7A351733
- Number of induced cycles in the 4 X n grid graph.at n=12A360197
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} k^j * Stirling2(n-j,j)/(n-j)!.at n=52A361652