6480
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 50
- Divisor Sum
- 22506
- Proper Divisor Sum (Aliquot Sum)
- 16026
- 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
- 1728
- Möbius Function
- 0
- Radical
- 30
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Denominators of coefficients of polynomials arising from Chebyshev quadrature.at n=7A002680
- a(n) = 2*n*(2*n+1).at n=40A002943
- Values of phi(k) when phi(k) = phi(k+1).at n=19A003275
- Smallest number with 2n divisors.at n=24A003680
- Fermionic string states.at n=15A005309
- Smallest k such that sigma(x) = k has exactly n solutions.at n=30A007368
- The minimal numbers: sequence A005179 arranged in increasing order.at n=34A007416
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=29A008382
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=22A008654
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=31A008778
- Orders of non-cyclic simple groups (divided by 4).at n=20A008976
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=23A011934
- Triangle of coefficients in expansion of (1+6x)^n.at n=19A013613
- Numbers of form 5^i*6^j, with i, j >= 0.at n=19A025622
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=22A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=28A028688
- Number of aperiodic necklaces with n labeled beads of 2 colors.at n=5A032321
- a(n) = 5*n^2.at n=36A033429
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=52A035585
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j)*9^j.at n=17A038215