13245
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
- 21216
- Proper Divisor Sum (Aliquot Sum)
- 7971
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7056
- Möbius Function
- -1
- Radical
- 13245
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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
- no
- Odd
- yes
Appears in sequences
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=39A030299
- Positive numbers having the same set of digits in base 7 and base 10.at n=40A037440
- 5-digit terms in the continued fraction for Pi.at n=16A048960
- a(n) = n*(n^2 - 6*n + 11)/6.at n=45A050407
- Centered 14-gonal numbers.at n=43A069127
- Array read by rows in which the n-th row contains the multiples of n in increasing order using all the digits of first n numbers.at n=16A078189
- Minimum over all permutations b of 1..n of sum b(i)*b^{-1}(i).at n=41A118375
- Where record values of A119999 occur.at n=37A120001
- Number of dart-free Berge perfect graphs on n nodes.at n=8A123418
- Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation pi is Sum_{k=1..n} (pi(k)-k)^2.at n=43A126972
- Numbers whose base-10 and base-7 representations are permutations of the same multiset of digits.at n=27A130604
- a(n) = (3 + 2*n + 6*n^2 + 4*n^3)/3.at n=21A166464
- First number in the n-th row of A172002.at n=42A168388
- Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit.at n=6A178475
- Number of (n+1) X 9 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=8A186461
- a(n) = (Sum_{k=0..n-1} A001850(k)*A001003(k+1))/n.at n=4A268138
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged first by number of inversions and then lexicographically.at n=36A268532
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood.at n=6A270726
- List of André permutations of the first kind.at n=11A278982
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 169", based on the 5-celled von Neumann neighborhood.at n=26A286173