10095
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16176
- Proper Divisor Sum (Aliquot Sum)
- 6081
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- -1
- Radical
- 10095
- 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
- 148
- 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
- Numbers k such that 13*2^k - 1 is prime.at n=10A001773
- Numbers k such that k | 12^k + 12.at n=23A015904
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 33.at n=32A031531
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=28A031898
- Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=35A039870
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=35A042945
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=39A063352
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime.at n=12A085775
- A000041(n) - A000203(n).at n=32A086738
- Euler transform of A000960.at n=10A099065
- Expansion of e.g.f. exp(5*x)*(BesselI(0,2*x) - BesselI(1,2*x)).at n=6A104455
- Triangle T(n,k), 0 <= k <= n, read by rows defined by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = 4*T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-1) + 5*T(n-1,k) + T(n-1,k+1) for k >= 1.at n=21A126331
- Triangle, read by rows, where column k of T = column 0 of matrix power T^{(k+1)(k+2)/2} for k>=0, with T(n,0)=1 for n>=0.at n=32A134523
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 9.at n=50A136826
- Number of "ON" cells at n-th stage of three-dimensional version of the cellular automaton A160414 using cubes.at n=14A161340
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A104455.at n=21A171589
- Great rhombicuboctahedron with faces of centered polygons.at n=7A193252
- Number of partitions p of n such that max(p) - 3*min(p) is a part of p.at n=39A238627
- Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (maximal part of p).at n=34A240311
- Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x^2 + ... + x^n to the polynomial A_k*(x+2k)^k for 0 <= k <= n .at n=23A248829