10312
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19350
- Proper Divisor Sum (Aliquot Sum)
- 9038
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5152
- Möbius Function
- 0
- Radical
- 2578
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 148
- 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
- Engel expansion of Sum_{k>=0} 1/(8 + k)^k.at n=10A063191
- a(n) = (6*n^4 + 30*n^3 - 20*n^2 + 14)*n/30 + (n mod 2).at n=8A064837
- Expansion of (1-4x)/((1-x)(1-3x)(1-5x)).at n=6A087439
- Smallest n-digit term of A089395.at n=4A089396
- n+phi(n)+phi(phi(n)) is a cube.at n=12A116042
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 1), (1, -1, 1), (1, 1, -1)}.at n=8A149024
- Infinite product representation of series 1 - log(1-x) = 1 + Sum_{j>=1} (j-1)!*(x^j)/j!.at n=7A157159
- Triangle of coefficients of polynomials u(n,x) jointly generated with A207626; see the Formula section.at n=51A207625
- Numerator of Sum_{i=0..n} (-1)^i*4/(2*i + 1).at n=5A215746
- Number of n X 2 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=11A279851
- p-INVERT of the positive integers, where p(S) = 1 - S^4.at n=11A290892
- G.f. A(x) satisfies: A(x - 3*x*A(x)) = x + x*A(x).at n=4A291817
- Number of indecomposable intervals in the Tamari lattices.at n=7A294084
- Sum of the second largest parts of the partitions of n into 9 parts.at n=35A326472
- a(n) = Sum_{k=0..floor(n/8)} binomial(n-4*k,4*k).at n=23A348289
- a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such integer exists.at n=34A350207
- G.f. A(x) satisfies A(x) = 1 / (1 - x - x * A(x^5)).at n=13A367661
- a(n) is the number of 2n-celled fixed polyominoes with at least 180 degree rotational symmetry about a vertex of a square in the lattice.at n=8A390655