Properties of the Number 10312

Ten Thousand Three Hundred Twelve

Basics

Value: 10311 → 10312 → 10313

Parity: even

Prime: No

Previous Prime: 10303

Next Prime: 10313

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 1289

Divisors: 1, 2, 4, 8, 1289, 2578, 5156, 10312

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001001000

Octal: 24110

Duodecimal: 5B74

Hexadecimal: 2848

Square: 106337344

Square Root: 101.54801819828883

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Infinite product representation of series 1 - log(1-x) = 1 + ∑_j>=1 (j-1)!*(x^j)/j!. A157159

Sum of the second largest parts of the partitions of n into 9 parts. A326472

G.f. A(x) satisfies: A(x - 3·x*A(x)) = x + x·A(x). A291817

G.f. A(x) satisfies A(x) = 1 / (1 - x - x·A(x⁵)). A367661

n+φ(n)+φ(φ(n)) is a cube. A116042

Triangle of coefficients of polynomials u(n,x) jointly generated with A207626; see the Formula section. A207625

a(n) = ∑_{k=0..floor(n/8)} binomial(n-4·k,4·k). A348289

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. A350207

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. A390655

a(n) = (6·n⁴ + 30·n³ - 20·n² + 14)*n/30 + (n mod 2). A64837