10560
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 56
- Divisor Sum
- 36576
- Proper Divisor Sum (Aliquot Sum)
- 26016
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2560
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 9
- 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
- 117
- 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
- Number of ways of writing n as a sum of 6 squares.at n=23A000141
- Number of discordant permutations.at n=12A000561
- Theta series of {D_6}* lattice.at n=46A008425
- Numbers k at which the fractional part of tan(k) reaches a record high.at n=14A019435
- Positive numbers k such that k and 6*k are anagrams in base 7 (written in base 7).at n=2A023072
- Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.at n=30A028579
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=42A029713
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=26A031174
- 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 51.at n=30A031549
- Number of ways to place a non-attacking white and black queen on n X n chessboard.at n=10A035291
- Unitary-sigma sigma multiply perfect numbers: numbers k such that A061765(k) = m*k for some integer m.at n=33A045795
- T(n,4), array T as in A050186; a count of aperiodic binary words.at n=20A050189
- 9-fold convolution of A000302 (powers of 4).at n=3A054339
- G.f.: 1/((1-x^2)^3*(1-x)^4).at n=15A060099
- a(n) = (A005867(n+1) - A000165(n))/96.at n=7A065412
- Smallest number with persistence n for the sort-and-subtract-sequence.at n=18A065641
- a(n) = 11*n^2 + 22*n.at n=29A067705
- Numbers m such that m*tau(m)>5*prime(m).at n=19A068547
- a(n) = (n-p_1)(n-p_2)...(n-p_k) where p_k is the k-th prime and is also the largest prime < n.at n=12A080497
- a(n) = Product_{i=2..n} (prime(n+1)-prime(i)).at n=4A086803