17280
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 61200
- Proper Divisor Sum (Aliquot Sum)
- 43920
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 11
- 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
- 48
- 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
- Order of the group SL(2,Z_n).at n=29A000056
- a(n) = LCM of denominators of Cotesian numbers {C(n,k), 0 <= k <= n}.at n=6A002176
- Denominators of coefficients for numerical integration.at n=7A002209
- The generalized Conway-Guy sequence w^{3}.at n=16A006757
- Dwork-Kontsevich sequence evaluated at 2*n.at n=5A007757
- Number of irreducible words of length 2n in the free group with generators x,y such that the total degree of x and the total degree of y both equal zero.at n=6A007987
- Triangle of coefficients in expansion of (1+12x)^n.at n=18A013619
- Droll numbers: numbers > 1 whose sum of even prime factors equals the sum of odd prime factors.at n=10A019507
- Number of divisors of A019505(n).at n=53A020697
- a(n) = n!/lcm{1,2,...,n} = (n-1)!/lcm{C(n-1,0), C(n-1,1), ..., C(n-1,n-1)}.at n=11A025527
- a(n) = n!/lcm{1,2,...,n} = (n-1)!/lcm{C(n-1,0), C(n-1,1), ..., C(n-1,n-1)}.at n=12A025527
- Theta series of lattice A_2 tensor E_6 (dimension 12, det. 6561, min. norm 4).at n=5A033698
- Highly factorable numbers: numbers with a record number of proper factorizations.at n=37A033833
- Product of consecutive factorials.at n=11A034882
- Compositorial numbers: product of first n composite numbers.at n=5A036691
- Number of labeled planted trees with 2-colored leaves.at n=5A038053
- Triangle read by rows: (i,j)-th entry is binomial(i,j)*3^(i-j)*8^j.at n=17A038226
- Triangle whose (i,j)-th entry is binomial(i,j)*8^(i-j)*3^j.at n=18A038281
- Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*1^j.at n=17A038327
- Erroneous version of A004009.at n=4A049335