Properties of the Number 65121

Sixty-Five Thousand One Hundred Twenty-One

Basics

Value: 65120 → 65121 → 65122

Parity: odd

Prime: No

Previous Prime: 65119

Next Prime: 65123

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 443

Divisors: 1, 3, 7, 21, 49, 147, 443, 1329, 3101, 9303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001100001

Octal: 177141

Duodecimal: 31829

Hexadecimal: fe61

Square: 4240744641

Square Root: 255.18816586981458

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) = (1/3)*(n² + 2·n + 3)*(n+1)². A14820

Bisection (odd part) of number of partitions that do not contain 1 as a part A002865. A182747

Generalized Catalan numbers C(8; n). A64091

Crystal ball sequence for the lattice C₄. A142993

Sixth diagonal of triangle A064094. A64302

Quotients k*(k+1)*(k+2) / (k+(k+1)+(k+2)) that are lucky numbers. A32792

Expansion of (1-x³)/(1-2x-x³+x⁴). A52903

Numbers k such that 9·R_k+2 - 7·10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k. A257037

A(n, k) = hypergeometric([-k, k+1], [-k-1], n), square array read by ascending antidiagonals for n,k >= 0. A323206

Least m such that the maximal palindrome within the period of the continued fraction for sqrt(m) is the n-th row of Pascal's triangle; or 0 if no such number exists. A65121