8736
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 28224
- Proper Divisor Sum (Aliquot Sum)
- 19488
- 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
- 2304
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 8
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- Smith Number
- yes
- 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
- Theta series of 14-dimensional extremal 3-modular lattice with det 3^7, minimal norm 4, group 2 X G_2(3).at n=3A004048
- a(n) = floor(n*(n-1)*(n-2)/30).at n=65A011912
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/5).at n=16A011915
- q-factorial numbers for q=-5.at n=4A015018
- Theta series of 14-dimensional lattice of det 3^7 and minimal norm 2.at n=3A018898
- Theta series of A*_15 lattice.at n=55A023927
- Distinct elements to the right of the central elements of the even-Pascal triangle A028326.at n=49A028332
- 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=37A031543
- Number of reversible strings with n-1 beads of 2 colors. 4 beads are black. String is not palindromic.at n=22A032091
- Numbers whose base-4 representation contains exactly four 0's and three 2's.at n=8A045060
- Number of rational points of Klein curve over GF(2^n).at n=12A048635
- Number of rooted trees with n nodes with every leaf at height 6.at n=18A048811
- a(n) = 4 * A073120(n).at n=34A057102
- a(n) is the smallest number k such that k! contains k exactly n times.at n=10A061014
- a(n) is the smallest number k >= 2 for which k and k^2 contain the same digits in the same proportion in base n.at n=21A061664
- a(0) = 0, a(n) = smallest composite k such that phi(k + 2^n) = phi(k) + 2^n; also cototient(k + 2^n) = cototient(k).at n=12A063104
- Numbers k such that 2^k ends in k.at n=2A064541
- Multiples of 24 whose digits also sum to 24.at n=35A066270
- Numbers k such that phi(k) and sigma(k) are both perfect squares.at n=9A067781
- Numbers n such that n and 2^n end with the same three digits.at n=8A067866