10584
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
- 48
- Divisor Sum
- 34200
- Proper Divisor Sum (Aliquot Sum)
- 23616
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3024
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 8
- 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
- 55
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (2*n)!^2 / ((n+1)!*n!^3).at n=5A000888
- a(n) = n*(n-1)*a(n-1)/2 + a(n-2), a(0) = 1, a(1) = 2.at n=6A001052
- a(n) = n*(n+1)^2/2.at n=27A006002
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=32A008382
- Theta series of A_8 lattice.at n=5A008448
- Coordination sequence for NiAs(1), As position.at n=42A009943
- Triangle of coefficients in expansion of (6+7x)^n.at n=12A013627
- a(n) = n*(29*n + 1)/2.at n=27A022287
- Expansion of Product_{m>=1} (1+m*q^m)^-27.at n=4A022719
- Numbers of form 6^i*7^j, with i, j >= 0.at n=17A025626
- a(n) = 6*n^2.at n=42A033581
- a(n) = 2*n*(4*n + 3).at n=36A033587
- Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=25A033688
- Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=38A035957
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*6^j.at n=12A038272
- Gaps of 2 in sequence A038593 (lower terms).at n=14A038643
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=33A038852
- Numbers ending with '4' that are the difference of two positive cubes.at n=25A038859
- Mean integral quotients associated with A048753.at n=10A048754
- Euler totient function (A000010) of 2^n - 1.at n=13A053287