Properties of the Number 65775

Sixty-Five Thousand Seven Hundred Seventy-Five

Basics

Value: 65774 → 65775 → 65776

Parity: odd

Prime: No

Previous Prime: 65761

Next Prime: 65777

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 877

Divisors: 1, 3, 5, 15, 25, 75, 877, 2631, 4385, 13155

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000011101111

Octal: 200357

Duodecimal: 32093

Hexadecimal: 100ef

Square: 4326350625

Square Root: 256.4663720646432

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

Number of integer partitions of n such that (length) * (maximum) > 2·n. A361907

G.f.: exp( ∑_n>=1 A163659(n²)*xⁿ/n ), where x·exp(∑_n>=1 A163659(n)*xⁿ/n) = S(x) is the g.f. of Stern's diatomic series (A002487). A195586

Array T read by diagonals: T(i,j)=least number of knight's moves on a chessboard (infinite in all directions) needed to move from (0,0) to (i,j). A65775