10332
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 30576
- Proper Divisor Sum (Aliquot Sum)
- 20244
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 1722
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- Number of collinear point-triples in an n X n grid.at n=11A000938
- Number of quasi-alternating permutations of length n.at n=6A001758
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=40A003452
- Powers of fourth root of 7 rounded down.at n=19A018063
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=16A023059
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 4 (mod 5).at n=45A035570
- Positive numbers having the same set of digits in base 4 and base 10.at n=41A037428
- Denominators of continued fraction convergents to sqrt(765).at n=9A042475
- 12 times triangular numbers.at n=41A049598
- Low-temperature susceptibility expansion for Kagome net (Potts model, q=4).at n=6A057403
- Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order.at n=40A058948
- Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.at n=24A058952
- Triangle read by rows: T(n,k) is the number of permutations of [n] with k alternating runs (n>=2, k>=1).at n=26A059427
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=37A060674
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=41A070020
- Smallest k such that k and k+n have the same prime signature that is different from all previous terms.at n=17A085876
- Expansion of 1 / ((1-x-x^2-x^3)*(1-x-x^3)).at n=14A103321
- Multiples of 7, k, such that k +/- 1 are twin primes.at n=38A127545
- E.g.f. satisfies: A(x) = x*(sinh(exp(A(x))-1)+1).at n=6A134261
- a(n) = n*(8*n-1).at n=36A139274