14412
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
- 12
- Divisor Sum
- 33656
- Proper Divisor Sum (Aliquot Sum)
- 19244
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 7206
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 164
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 least term in the periodic part of the continued fraction for sqrt(k) is 20.at n=11A031698
- Base-7 palindromes that start with 6.at n=16A043020
- a(n) = concatenation of n^2 and n.at n=11A055436
- a(n) = 100*n^2 + n.at n=11A055438
- Numbers whose set of base 7 digits is {0,6}.at n=17A097253
- Square array read by antidiagonals: T(m,n) = H(n,2*m)*(2*m)!/(2*m+2*n-1). H(0,m) = 1/m, for all positive integers m. H(n,m) = Sum_{k=1..m} H(n-1,k).at n=38A136205
- Concatenation of n-th Fibonacci number and n.at n=11A139114
- a(n) = 400*n^2 + 2*n.at n=5A158312
- a(n) = 144*n^2 + 12.at n=10A158546
- Number of (w,x,y) with all terms in {0,...,n} and x != max(|w-x|,|x-y|).at n=24A213496
- The number of binary sequences that contain at least two consecutive 1's and contain at least two consecutive 0's.at n=14A234933
- Number of unordered pairs {p,q} of partitions of n into distinct parts such that p and q are incomparable in the dominance order.at n=32A265508
- Square array T(n,k) = number of separable polynomials of degree <= k in Z/n[x], n>=1, k>=1, read by antidiagonals.at n=51A284367
- a(n) = [x^n] Product_{k=1..n} (1 - (n - k + 1)*x^k).at n=12A303189
- Triangle read by rows: T(n,k) is the number of permutations pi of [n] such that pi has k+1 valleys and s(pi) avoids the patterns 132 and 321, where s is West's stack-sorting map (0 <= k <= floor((n-1)/2)).at n=41A319030
- Number of collinear triples in a 4 X n rectangular grid.at n=27A334706
- Least integer k for which sigma(k - x) + sigma(k + x) = n*k has at least one solution.at n=6A383758
- Numbers k for which sigma(k - x) + sigma(k + x) = 8*k has at least one nonnegative solution.at n=0A384841