Properties of the Number -10291

Ten Thousand Two Hundred Ninety-One

Basics

Value: -10292 → -10291 → -10290

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 41 × 251

Divisors: 1, 41, 251, 10291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100000110011

Octal: -24063

Duodecimal: -5B57

Hexadecimal: -2833

Square: 105904681

Square Root: 101.44456614328833

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

Expansion of e.g.f. exp(x/(x² - 1)). A293532

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. 1/∏_{j > 0, j mod k > 0} exp(x^j). A293530

Number of partitions of n such that no part is a sum of two other parts. A236912

Number of "sets of odd lists", cf. A000262. A88009

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240394

Numbers that are the sum of seven fourth powers in five or more ways. A345571

Numbers that are the sum of seven fourth powers in exactly five ways. A345827

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 1, 2 or 3 1s. A295416

a(n) = n! * ∑_{k=0..floor(n/3)} k^k / (k! * (n-3·k)!). A362348

Second 14-gonal numbers: n*(6·n+5). A211014