10304
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 24384
- Proper Divisor Sum (Aliquot Sum)
- 14080
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 322
- Omega Function (Ω)
- 8
- 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
- 104
- 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
- Discriminants of totally real quartic fields (see comments).at n=38A002769
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=32A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=32A004967
- Theta series of {D_8}* lattice.at n=6A008427
- Coordination sequence for root lattice B_4.at n=7A022146
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=44A025504
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 15 (most significant digit on left).at n=10A029484
- One fifth of 9-factorial numbers.at n=3A035018
- Number of partitions of n with equal number of parts congruent to each of 1, 3 and 4 (mod 5).at n=59A035580
- Composites whose sum of digits equals number of its prime factors, with multiplicity.at n=42A050689
- Numbers n such that n+cototient(n) is a power of 2.at n=22A053159
- Nonprimes n such that n+cototient(n) is a power of 2.at n=17A053162
- Generalized sum of divisors function: third diagonal of A060047.at n=30A060046
- Number of n-step walks on a square lattice starting from the origin but not returning to it at any stage.at n=7A063887
- Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=38A064803
- Let A(n) = {1,2,3,...n}. Let B(r) and C(n-r) be two subsets of A(n) having r and n-r elements respectively, such that B(r) U C(n-r) = A(n) and B and C are disjoint; then a(n) = sum of the products of all combination sums of elements of B and C for r =1 to n-1.at n=6A067057
- Numbers k such that k = (sum of distinct prime factors of k)*(product of distinct prime factors of k).at n=41A068999
- Multiples of 8 with digit sum 8.at n=28A069543
- Numbers n such that sopf(phi(n)) = phi(sopf(n)), where sopf(x) = sum of the distinct prime factors of x.at n=34A076531
- a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=1, a(2)=2.at n=13A080877