12534
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25080
- Proper Divisor Sum (Aliquot Sum)
- 12546
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4176
- Möbius Function
- -1
- Radical
- 12534
- 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
- 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
- Number of partitions of n, with three kinds of 1 and 2 and two kinds of 3,4,5,....at n=14A000714
- Positive numbers k such that k and 3*k are anagrams in base 7 (written in base 7).at n=15A023069
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=37A030299
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=40A042945
- Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.at n=21A062693
- Numbers with 5 distinct digits {1,2,3,4,5} such that all adjacent digits (as well as first and last digits) are coprime.at n=2A104972
- n+prime(n)+prime(prime(n)) is a triangular number, where prime(n) is the n-th prime.at n=14A116010
- Number of partitions of n having no more odd than even parts.at n=40A171966
- Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit.at n=4A178475
- Number of n X n 0..2 arrays avoiding the pattern z-1 z-1 z in any row or column.at n=2A207195
- Number of nX3 0..2 arrays avoiding the pattern z-1 z-1 z in any row or column.at n=2A207196
- T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row or column.at n=12A207201
- Number of n X n 0..2 arrays avoiding the pattern z z+1 z in any row or column.at n=2A207215
- Number of nX3 0..2 arrays avoiding the pattern z z+1 z in any row or column.at n=2A207216
- T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z z+1 z in any row or column.at n=12A207221
- Numbers n such that the smallest prime divisor of n^2+1 is 101.at n=40A248553
- Number of (n+2) X (1+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0.at n=7A255785
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0.at n=28A255792
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0.at n=35A255792
- List of André permutations of the second kind.at n=10A278983