12424
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 23310
- Proper Divisor Sum (Aliquot Sum)
- 10886
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6208
- Möbius Function
- 0
- Radical
- 3106
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 125
- 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
- Numerators of continued fraction convergents to sqrt(243).at n=6A041454
- Number of partitions of n into decimal repdigit numbers.at n=38A088669
- Number of partitions of n into decimal palindromes.at n=38A091580
- Number of all extensions over Q_5 with degree n in the algebraic closure of Q_5.at n=14A100978
- Slowest increasing sequence beginning with 3 whose digits satisfy the rule d*2.at n=8A102255
- Number of n X n arrays of squares of integers summing to 18 with every element equal to at least one neighbor.at n=2A146506
- Numbers k such that the digit sum of 167^k is divisible by k.at n=25A175552
- Number of line segments connecting exactly 3 points in an n X n grid of points.at n=19A177719
- G.f. satisfies: A(x) = (1 + x*(1-x)*A(x)^2) * (1 + x^2*A(x)).at n=10A216617
- Numbers of undirected cycles in the n X n black bishop graph.at n=2A234603
- a(n) = number of steps to reach 0 when starting from k = n^3 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm.at n=47A261227
- Number of partitions of n into a squarefree number of squarefree parts.at n=46A286330
- a(n) = prime(n) + prime(n+1) * prime(n+2).at n=27A293206
- Number of ordered triples (a,b,c) of positive integers less than n with the property that n divides a*b*c.at n=49A352078
- Irregular table read by rows: T(n,k) is the number of k-sided polygons formed, for k>=3, in a square when straight line segments connect the n+1 points along each edge that divide it into n equal parts to the n+1 points on the edge on the opposite side of the square.at n=42A355841
- a(n) = Sum_{j=1..n} Sum_{k=1..n} tau(j*k).at n=33A372674
- Number of subsets of {1,2,...,n} such that no two elements differ by 1 or 5.at n=22A374737