10795
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 3029
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- -1
- Radical
- 10795
- 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
- yes
- 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
- 68
- 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
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=45A000199
- Gaussian binomial coefficient [n, 2] for q = 2.at n=8A006095
- Weight distribution of [255,247,3] Hamming code of length 255.at n=3A010089
- Odd pentagonal numbers.at n=42A014632
- Triangle of Gaussian binomial coefficients (or q-binomial coefficients) [n,k] for q = 2.at n=38A022166
- Triangle of Gaussian binomial coefficients (or q-binomial coefficients) [n,k] for q = 2.at n=42A022166
- Gaussian binomial coefficients [n, 6] for q = 2.at n=2A022189
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=42A033570
- Number of sublattices of index n in generic 7-dimensional lattice.at n=3A038994
- Z(S_m; sigma[1](n), sigma[2](n),..., sigma[m](n)) where Z(S_m; x_1,x_2,...,x_m) is the cycle index of the symmetric group S_m and sigma[k](n) is the sum of k-th powers of divisors of n; m=6.at n=3A068023
- Number of solenoidal flows (flow in = flow out) in a 3 X 3 square array with integer velocities -n .. n.at n=6A068722
- Number of solenoidal flows (flow in = flow out) in an n X n square array with integer velocities in -6 .. 6.at n=2A068731
- (Prime(prime(n))^2-1)/24.at n=23A092772
- A Jacobsthal variant.at n=14A097038
- Pentagonal numbers (A000326) whose digit reversal is a brilliant number (A078972).at n=8A115680
- Pentagonal numbers (A000326) whose digit reversal is a semiprime (A001358).at n=23A115709
- Pentagonal numbers for which the sum of the digits is also a pentagonal number.at n=12A117709
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=38A117710
- Pentagonal numbers for which both the sum of the digits and the product of the digits are pentagonal numbers.at n=6A117711
- Pentagonal numbers divisible by 5.at n=34A117793