Properties of the Number 55777

Fifty-Five Thousand Seven Hundred Seventy-Seven

Basics

Value: 55776 → 55777 → 55778

Parity: odd

Prime: No

Previous Prime: 55763

Next Prime: 55787

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 17 ² × 193

Divisors: 1, 17, 193, 289, 3281, 55777

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101100111100001

Octal: 154741

Duodecimal: 28341

Hexadecimal: d9e1

Square: 3111073729

Square Root: 236.17154782064668

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

Numbers k with digits 5 and 7 only. A284380

Number of ways to cut an n X n square into squares with integer sides, reduced for symmetry, where the orbits under the symmetry group of the square, D4, have 8 elements. A226981

The first of two consecutive pentagonal numbers the sum of which is equal to the sum of two consecutive primes. A298463

Number of arrays of 2n nondecreasing integers in -3..3 with sum zero and equal numbers greater than zero and less than zero. A203286

Concatenation of n in base 2 up to base 10 and n in base 10 down to base 2 is prime, all numbers are interpreted as decimals. A54258

a(n) = n²*(2·n² + 1)/3. A71270

a(n) = 128·n² + 2528·n + 12481. A157436

Pentagonal numbers with only odd digits. A117985

a(n) = 128·n² - 32·n + 1. A157331

a(n) = 2·prime(n)² - 1. A179262