8832
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 24480
- Proper Divisor Sum (Aliquot Sum)
- 15648
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2816
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 9
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 21
- 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
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=29A001103
- Expansion of 1/((1+x)*(1-x)^6).at n=15A001753
- Numbers that are the sum of 3 positive 5th powers.at n=41A003348
- Coordination sequence for hexagonal close-packing.at n=29A007899
- Theta series of {D_6}^{+} lattice.at n=47A008434
- Coordination sequence for alpha-Nd, Position Nd1.at n=29A009948
- Seidel's triangle, read by rows.at n=37A014781
- a(n) = A027144(2n, n).at n=6A027145
- a(n) = A027144(n, floor(n/2)).at n=12A027150
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=37A028604
- 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 45.at n=40A031543
- Numbers whose base-4 representation contains exactly four 0's and three 2's.at n=9A045060
- Numbers that are divisible by exactly 9 primes with multiplicity.at n=39A046312
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^23 in powers of x.at n=4A047648
- Number of primitive (aperiodic) step shifted (decimated) sequences using a maximum of two different symbols.at n=15A056381
- Number of primitive (aperiodic) step shifted (decimated) sequences using exactly two different symbols.at n=15A056386
- Numbers k such that sigma(x) = k has exactly 7 solutions.at n=37A060663
- a(n) is the number of pairs of integer quadruples (b_1, b_2, b_3, b_4) and (c_1, c_2, c_3, c_4) satisfying 1 <= b_1 < b_2 < b_3 < b_4 < n, 1 <= c_1 < c_2 < c_3 < c_4 < n, b_i != c_j for all i,j = 1,2,3,4 and Product_{i=1..4} cos(2*Pi*b_i/n) = Product_{i=1..4} cos(2*Pi*c_i/n).at n=46A063780
- a(n) = 2^n + 4^n + 6^n.at n=5A074533
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=28A077274