Properties of the Number 5077

Five Thousand Seventy-Seven

Basics

Value: 5076 → 5077 → 5078

Parity: odd

Prime: Yes

Previous Prime: 5059

Next Prime: 5081

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5077

Divisors: 1, 5077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001111010101

Octal: 11725

Duodecimal: 2B31

Hexadecimal: 13d5

Square: 25775929

Square Root: 71.25307010929424

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

a(n) = 4·n² - 3·n + 1. A54552

Primes with first digit 5. A45711

Primes congruent to 2 mod 29. A141978

Numbers k such that (8^k - 5^k)/3 is prime. A128345

Number of compositions (ordered partitions) of n into square parts (A000290) such that no two adjacent parts are equal (Carlitz compositions). A301503

Expansion of 1/(1 - ∑_k>=1 μ(k)²*x^k), where μ(k) is the Moebius function (A008683). A280194

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229694

Primes having only {0, 5, 7} as digits. A260827

Primes p such that (p+1)/2 and (p+2)/3 are also primes. A36570