Properties of the Number 8461

Eight Thousand Four Hundred Sixty-One

Basics

Value: 8460 → 8461 → 8462

Parity: odd

Prime: Yes

Previous Prime: 8447

Next Prime: 8467

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 8461

Divisors: 1, 8461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100001101

Octal: 20415

Duodecimal: 4A91

Hexadecimal: 210d

Square: 71588521

Square Root: 91.98369420718001

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

Primes of the form 2·n² + 11. A50265

Small-number statistic from the enumeration of domino tilings of a 9-pillow of order n. A112844

Third row of number array A082105. A82109

Primes p such that the multiplicative order of 2 modulo p is (p-1)/5. A1135

Where the prime race among 7k+1, ..., 7k+6 changes leader. A7354

a(n) = ∑_{k=0..floor(n/3)} (4·k+1) * binomial(3·n-5·k+1,n-3·k)/(3·n-5·k+1). A390485

Integers of the form (x³)/6 + (x²)/2 + x + 1. A127876

Primes p of the form 4k+1 for which s=17 is the least positive integer such that sp-(floor(sqrt(sp)))² is a square. A145049

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2. A214022

Primes which are the sum of a twin prime pair + 1. A118071