Properties of the Number 10491

Ten Thousand Four Hundred Ninety-One

Basics

Value: 10490 → 10491 → 10492

Parity: odd

Prime: No

Previous Prime: 10487

Next Prime: 10499

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 269

Divisors: 1, 3, 13, 39, 269, 807, 3497, 10491

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011111011

Octal: 24373

Duodecimal: 60A3

Hexadecimal: 28fb

Square: 110061081

Square Root: 102.42558274181309

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

a(n) = n*(31·n + 1)/2. A22289

Number of perfect powers (A001597) not exceeding 10ⁿ. A70428

T(n,k) is the number of n X k 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279977

Expansion of 1 / (χ(-x) * χ(-x³)) in powers of·where χ() is a Ramanujan θ function. A328798

Product of n and the sum of remainders of n mod k, for k = 1, 2, 3, ..., n. A256532

Partial sums of A334136. A332264

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)⁵. A372930

[ n(n-1)(n-2)(n-3)/7 ]. A11917

Numbers that appear in both A278909 and A280967 but not in A280971. A280972

Numbers n such that 7·10ⁿ-3 is prime. A103049