10292
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 8524
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4920
- Möbius Function
- 0
- Radical
- 5146
- Omega Function (Ω)
- 4
- 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
- 29
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=41A033570
- Number of trees with n nodes and 9 leaves.at n=7A055296
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=36A089493
- Pentagonal numbers (A000326) whose digit reversal is a prime.at n=14A115707
- Pentagonal numbers with prime indices.at n=22A116995
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=36A117710
- Expansion of (chi(-q^3)/ chi^3(-q) -1)/3 in powers of q where chi() is a Ramanujan theta function.at n=23A128129
- Expansion of (1/3) * (c(q)^2 / c(q^2)) / (b(q^2)^2 / b(q)) in powers of q where b(), c() are cubic AGM theta functions.at n=16A128641
- Expansion of q * psi(-q^9) / psi(-q) in powers of q where psi() is a Ramanujan theta function.at n=47A132975
- Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers.at n=18A136117
- Expansion of c(q^3) / (c(q^3) + c(q^6)) where c() is a cubic AGM function.at n=48A145977
- Twice 13-gonal numbers: a(n) = n*(11*n - 9).at n=31A152997
- Expansion of c(-q) * c(-q^3) / c(q^2)^2 in powers of q where c() is a cubic AGM theta function.at n=48A164616
- Expansion of (phi^3(q^3) / phi(q)) * (psi(-q^3) / psi^3(-q)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=16A164617
- Number of nX3 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.at n=5A200529
- Number of nX6 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.at n=2A200532
- T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.at n=30A200534
- T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.at n=33A200534
- Expansion of phi(q^9) / (psi(-q) * chi(q^3)) in powers of q where phi(), psi(), chi() are Ramanujan theta functions.at n=48A213267
- Number of minimax elements in the affine Weyl group of the Lie algebra so(2n).at n=10A245455