10145
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12180
- Proper Divisor Sum (Aliquot Sum)
- 2035
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8112
- Möbius Function
- 1
- Radical
- 10145
- 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
- 34
- 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
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=21A010013
- Expansion of e.g.f. arcsin(sinh(x) * exp(x)).at n=7A012519
- Number of inequivalent ways (mod D_4) a pair of checkers can be placed on an n X n board.at n=19A014409
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=31A020364
- Multiplicity of highest weight (or singular) vectors associated with character chi_122 of Monster module.at n=42A034510
- a(n) = Sum_{d|n} phi(d^3).at n=25A068963
- Starting positions of strings of three 5's in the decimal expansion of Pi.at n=8A083620
- Numbers n such that n^2-6 and n^2+6 are both prime.at n=41A108403
- Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.at n=25A135441
- Prime numbers concatenated with 45.at n=25A137521
- a(n) = number of ways to dispose two pawns on a chessboard of size n X n (two dispositions are equivalent if one can be rotated or reflected to give the other one).at n=20A141582
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 1), (1, 0, 1), (1, 1, -1)}.at n=8A149023
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, -1), (0, 1, -1), (0, 1, 1), (1, 0, 1)}.at n=7A150713
- Positive numbers y such that y^2 is of the form x^2+(x+761)^2 with integer x.at n=6A160200
- Base-3 Keith numbers.at n=18A188195
- Braille natural numbers (including zero), using "0" as digit concatenation mark.at n=14A220090
- a(n) = r*a(ceiling(n/2))+s*a(floor(n/2)) with a(1)=1 and (r,s)=(3,2).at n=45A268526
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 565", based on the 5-celled von Neumann neighborhood.at n=20A272945
- Sum of the squares of the smaller parts of the partitions of 2n into two squarefree parts.at n=39A280320
- Numbers k such that (11*10^k - 137)/9 is prime.at n=14A293687