Properties of the Number 36777

Thirty-Six Thousand Seven Hundred Seventy-Seven

Basics

Value: 36776 → 36777 → 36778

Parity: odd

Prime: No

Previous Prime: 36767

Next Prime: 36779

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 23 × 41

Divisors: 1, 3, 13, 23, 39, 41, 69, 123, 299, 533

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111110101001

Octal: 107651

Duodecimal: 19349

Hexadecimal: 8fa9

Square: 1352547729

Square Root: 191.77330366868065

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

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+359)² = y². A130610

Triangle read by rows: T(m,n) is the label of the largest square that an (m,n)-leaper (a generalization of a chess knight) reaches before it can no longer move, starting on a board with squares spirally numbered, starting at 1; 1 <= n < m. Each move is to the lowest-numbered unvisited square. A306197

Numbers k such that k and k + 1 have the same norm of the sum of divisors in Gaussian integers. A332315

Number of labeled rooted trees with a degree constraint (described in the comments below). A36777

a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 69. A93269