12365
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14844
- Proper Divisor Sum (Aliquot Sum)
- 2479
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9888
- Möbius Function
- 1
- Radical
- 12365
- Omega Function (Ω)
- 2
- 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
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence for sigma-CrFe, Position Xc.at n=28A009961
- Number of inequivalent ways (mod D_4) a pair of checkers can be placed on an n X n board.at n=20A014409
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 3.at n=10A051968
- Number of subsequences of {1..n} such that all differences of pairs of terms are distinct (i.e., number of Golomb rulers on {1..n}).at n=21A054578
- List of codewords in binary lexicode with Hamming distance 6 written as decimal numbers.at n=16A075934
- Basis for code in A075934.at n=4A075935
- Numbers k > 1 for which floor(b(k)) = floor(b(k-1)), where b(m) = Sum_{j=1..m} (j/(j+2)).at n=16A133470
- a(n) = (4*n^3 - 12*n^2 + 14*n + 3)/3.at n=22A161703
- Array T(m,n) = greatest k such that 1/n + ... + 1/(n+k-1) <= m, by rising antidiagonals.at n=46A214966
- a(n) is the smallest k such that a unique product of distinct terms of A050376 which is equal to k! contains at least the first n terms of A050376.at n=12A240695
- Number of simple connected graphs with n nodes that have no subgraph isomorphic to the open-bowtie graph or the diamond graph.at n=9A243789
- Ulam numbers u such that 5*u is also an Ulam number.at n=23A287613
- Number of rooted 2-connected 4-regular maps on the projective plane, which may have loops, with n inner faces.at n=4A318102
- Fibonacci sequence beginning 11, 26.at n=14A354383
- E.g.f. satisfies A(x) = 1 + x*exp(-x)*A(x)^3.at n=5A365010