12824
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27600
- Proper Divisor Sum (Aliquot Sum)
- 14776
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5472
- Möbius Function
- 0
- Radical
- 3206
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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 compositions of n into 4 ordered relatively prime parts.at n=41A000742
- Number of Twopins positions.at n=48A005686
- Coordination sequence for Cr3Si, Si position.at n=29A009927
- Differences between two positive cubes in exactly 2 ways.at n=11A014440
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=41A026067
- Difference between two positive cubes in more than one way.at n=12A034179
- Numbers ending with '4' that are the difference of two positive cubes.at n=30A038859
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=39A051347
- Sum of antidiagonals of A060736.at n=28A061349
- Nonprimes m such that phi(m)*sigma(m) is divisible by m+1.at n=42A065148
- Number of n X n circulant invertible (0,1) matrices over the reals.at n=13A086323
- Antidiagonal sums of the triangle A099557.at n=23A099558
- Expansion of (b(q^6) * c(q^6)) / (b(q^3) * c(q^3)) in powers of q where b(), c() are cubic AGM theta functions.at n=23A102315
- a(1)=0, a(n) = n^3 - a(n-1).at n=28A153026
- Number of closed knight's tour diagrams of a 3 X n chessboard that have "Eulerian symmetry".at n=22A169767
- Number of functions f:{1,2,...,n}->{1,2,...,n} with at least one cycle of length >= 3.at n=6A208240
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2.at n=53A214359
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 8, n >= 2.at n=30A214375
- Total sum of parts of multiplicity 6 in all partitions of n.at n=37A222734
- G.f.: exp( Sum_{n>=1} x^n / (n*(1-x)^n * (1-x^n)) ).at n=13A227682