Properties of the Number 10817

Ten Thousand Eight Hundred Seventeen

Basics

Value: 10816 → 10817 → 10818

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 29 × 373

Divisors: 1, 29, 373, 10817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000001

Octal: 25101

Duodecimal: 6315

Hexadecimal: 2a41

Square: 117007489

Square Root: 104.00480758118829

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

Numbers k such that k⁴ contains a pandigital substring. A115934

a(n) = 16·n² + 1. A108211

a(n) = 81·n² - 72·n + 17. A154277

a(n) = 64·n² + 1. A158686

a(n) = 338·n + 1. A158000

Andrews's shadow difference function D₃(q). A275633

Numbers m such that m divides ∑_k=1..m prime(k)¹⁴. A131274

a(n) = 676·n + 1. A158386

a(n) is the n-th order Taylor polynomial (centered at 0) of S(x)^2·n evaluated at x = 1, where S(x) = (1 - x - sqrt(1 - 6·x + x²))/(2·x) is the o.g.f. of the Schröder numbers A006318. A333091

Coordination sequence for α-Mn, Position Mn3. A9952