Properties of the Number 8618

Eight Thousand Six Hundred Eighteen

Basics

Value: 8617 → 8618 → 8619

Parity: even

Prime: No

Previous Prime: 8609

Next Prime: 8623

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 31 × 139

Divisors: 1, 2, 31, 62, 139, 278, 4309, 8618

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110101010

Octal: 20652

Duodecimal: 4BA2

Hexadecimal: 21aa

Square: 74269924

Square Root: 92.83318372220141

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) = ∑_k=1..n φ(k)². A57434

Triangle read by rows: T(n,k) is the number of unlabeled weakly graded (ranked) posets with n elements and rank k. A361953

a(n) = 9n² - n. A154516

Number of primes up to 10ⁿ that are of the form (k-2)² + (k-1)² + k². A218210

Negative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared. A257868

G.f.: ∑_n>=0 (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323690

Number of basis partitions of n+100 with Durfee square size 10. A69253

Number of intersections between a sphere inscribed in a cube and the n X n X n cubes resulting from a cubic lattice subdivision of the enclosing cube. A85690

Records in A119451. A119452

a(n) = 961·n² - 31. A158679