Properties of the Number 72771

Seventy-Two Thousand Seven Hundred Seventy-One

Basics

Value: 72770 → 72771 → 72772

Parity: odd

Prime: No

Previous Prime: 72767

Next Prime: 72797

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 127 × 191

Divisors: 1, 3, 127, 191, 381, 573, 24257, 72771

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110001000011

Octal: 216103

Duodecimal: 36143

Hexadecimal: 11c43

Square: 5295618441

Square Root: 269.76100533620496

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

Expansion of e.g.f. 1/sqrt(1 - 2·x*exp(x)). A380015

Round(226*φⁿ). A80106

a(n) = (m(n)² + 3)*(m(n)² + 7)/32, where m(n) = 2·n - 1. A336535

Indices of primes in sequence defined by A(0) = 77, A(n) = 10·A(n-1) - 23 for n > 0. A56258

Terms of A073872 that do not change their position in the rearrangement; i.e., values of A073872(n) which equal n(n+1)/2. A73873

Union of A080105 and A080106. A80078

Smith triangular numbers. A98840

Triangular numbers composed of digits {1,2,7}. A119105

Hexagonal numbers that are sphenic numbers. A380007

Smallest triangular number containing exactly n 7's. A36524