10595
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13776
- Proper Divisor Sum (Aliquot Sum)
- 3181
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- -1
- Radical
- 10595
- 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
- 99
- 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
- Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(4).at n=8A014697
- (d(n)-r(n))/5, where d = A026046 and r is the periodic sequence with fundamental period (1,0,4,0,0).at n=50A026048
- Expansion of 1/((1-2*x)*(1-7*x)*(1-10*x)*(1-12*x)).at n=3A028013
- Multiplicity of highest weight (or singular) vectors associated with character chi_13 of Monster module.at n=41A034401
- Non-palindromic number and its reversal are both multiples of 13.at n=37A062912
- Numbers k such that phi(k) is a perfect 5th power.at n=29A078165
- Structured truncated cubic numbers.at n=12A100152
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+577)^2 = y^2.at n=5A130005
- a(1)=2, a(2)=2, a(n)=a(n-2)+floor(a(n-2)*a(n-1)/(a(n-2)+a(n-1))).at n=41A173091
- Expansion of 1/(1 - x - x^6 - x^11 + x^12).at n=39A175773
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 397", based on the 5-celled von Neumann neighborhood.at n=26A281754
- Numbers k such that F(k)*F(k+1) - F(k+2) is prime, where F = A000045.at n=37A305415
- Determinant of n X n matrix containing the first n^2 composites in increasing order.at n=18A321685
- Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UH and HD.at n=15A329702
- Number of partitions of n with rank 5 (the rank of a partition is the largest part minus the number of parts).at n=51A363214
- Number of partitions of 4n whose xor-sum is 2n.at n=13A370874
- Triangle read by rows: T(n,k) = number of permutations in symmetric group S_n with an even number of non-fixed point cycles, without k<=n particular fixed points.at n=41A374419