Properties of the Number 68775

Sixty-Eight Thousand Seven Hundred Seventy-Five

Basics

Value: 68774 → 68775 → 68776

Parity: odd

Prime: No

Previous Prime: 68771

Next Prime: 68777

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 7 × 131

Divisors: 1, 3, 5, 7, 15, 21, 25, 35, 75, 105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110010100111

Octal: 206247

Duodecimal: 33973

Hexadecimal: 10ca7

Square: 4730000625

Square Root: 262.2498808388671

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

Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal. A80858

Number of partitions p of n including round(mean(p)) as a part. (This is "Mathematica round"). A241338

Number of partitions of n such that the least part occurs with odd multiplicity. A96375

Number of partitions p of n such that round(mean(p)) is a part of p; here, round(x) means floor(x + 1/2). A241733

Coefficients of polynomials p(n, x) generating the columns of A323224, triangle read by rows, T(n, k) for n >= 1 and k >= 0. A323233

Number of perifusenes with one internal vertex. A38383

Numbers n such that (n⁶ + 1091)/4 is prime. A181112

Duplicate of A068774. A68775