Properties of the Number 72767

Seventy-Two Thousand Seven Hundred Sixty-Seven

Basics

Value: 72766 → 72767 → 72768

Parity: odd

Prime: Yes

Previous Prime: 72763

Next Prime: 72797

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 72767

Divisors: 1, 72767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110000111111

Octal: 216077

Duodecimal: 3613B

Hexadecimal: 11c3f

Square: 5295036289

Square Root: 269.75359126432403

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

Primes of the form 16·k-1 such that 4·k-1 and 8·k-1 are also primes. A101793

Primes having only {2, 6, 7} as digits. A385787

Primes where every other digit is 7 starting with the rightmost digit, and no other digit is 7. A348560

Numbers m such that Conv(b,m) = b has a unique nontrivial solution (b = 0 and b = 1 are considered trivial solutions). Here, Conv(b,m) denotes the limit of b^^t (mod m) as t goes to infinity. A347561

a(n) is the least prime p such that, if q is the next prime after p and d = q-p, then p-n·d, p+n·d, q-n·d and q+n·d are all prime. A353697

Number of crystallized linear chord diagrams on n chords. A375505

Inverse permutation to A072766. A72767