Properties of the Number 96771

Ninety-Six Thousand Seven Hundred Seventy-One

Basics

Value: 96770 → 96771 → 96772

Parity: odd

Prime: No

Previous Prime: 96769

Next Prime: 96779

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 32257

Divisors: 1, 3, 32257, 96771

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111101000000011

Octal: 275003

Duodecimal: 48003

Hexadecimal: 17a03

Square: 9364626441

Square Root: 311.08037546589145

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

G.f.: 1/∏_k>=1 (1-prime(k)*x^prime(k)). A2098

Least positive integer m such that σ(m·n) is a cube, where σ(k) is the sum of the divisors of k. A334339

Numerators of continued fraction convergents to sqrt(567). A42086

Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241392

Multiplicity of highest weight (or singular) vectors associated with character chi₆₇ of Monster module. A34455

Triangle read by rows: T(n,m) is the number of partitions of n that (just) fit inside an m X m box, but not in an (m-1) X (m-1) box. Partitions of n with Max(max part, length) = m. A96771

First class of all proper positive solutions x1(n) = a(n) of the Pell equation x² - 7·y² = 9. A307168