12564
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 31850
- Proper Divisor Sum (Aliquot Sum)
- 19286
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4176
- Möbius Function
- 0
- Radical
- 2094
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- 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
- Positive numbers k such that k and 2*k are anagrams in base 7 (written in base 7).at n=4A023068
- Positive numbers k such that k and 5*k are anagrams in base 9 (written in base 9).at n=4A023082
- Positive numbers having the same set of digits in base 7 and base 10.at n=36A037440
- Numbers n such that sum of primes dividing n (with repetition) is equal to the largest prime factor of n+1.at n=21A071863
- Leading term of n-th row of A081491.at n=34A081490
- Number of free generators of degree n of the primitive Lie algebra of the Hopf algebra of parking functions.at n=5A122720
- Numbers whose base-10 and base-7 representations are permutations of the same multiset of digits.at n=24A130604
- a(n)=sum{k=0..floor(n/2), C(n,2k)*A000108(floor(k/2))}. Inverse binomial transform is aeration of doubled Catalan numbers.at n=14A157021
- Union of A071863 and A071861.at n=47A193458
- Number of partitions of n such that 2*(greatest part) >= (number of parts).at n=34A237755
- Number of equilateral triangles bounded by the sides and diagonals of a regular 3n-gon.at n=11A238822
- Number of standard Young tableaux with n cells and exactly ten successions.at n=5A241781
- Numbers k such that Bernoulli number B_{k} has denominator 1919190.at n=6A295595
- Expansion of Product_{k>=1} 1/(1 - (1 + x + x^2) * x^k).at n=14A309172
- Number of compositions (ordered partitions) of n into heptagonal pyramidal numbers (A002413).at n=49A322855
- a(n) = Sum_{k=1..n} k^2 * floor(n/k)^2.at n=25A350123
- Index of 2^n in A351495.at n=14A361334