Properties of the Number 6077

Six Thousand Seventy-Seven

Basics

Value: 6076 → 6077 → 6078

Parity: odd

Prime: No

Previous Prime: 6073

Next Prime: 6079

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 59 × 103

Divisors: 1, 59, 103, 6077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110111101

Octal: 13675

Duodecimal: 3625

Hexadecimal: 17bd

Square: 36929929

Square Root: 77.95511529078769

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

Number of points of norm <= n² in square lattice. A328

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20. A50969

Number of integers in n-th generation of tree T(1/2) defined in Comments. A274142

Expansion of 1/(1 - x³ - x⁴ - x⁵ + x⁸). A225482

Number of free poly-[4.6.12]-tiles (holes allowed) with n cells (division into triangles is significant). A197462

Number of points on surface of square pyramid: 3·n² + 2 (n>0). A5918

Sum of three consecutive squares: a(n) = n² + (n + 1)² + (n + 2)². A120328

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero. A208597

Weighted count of partitions with distinct parts. A5895

Total number of parts coprime to n in the partitions of n into 5 parts. A363323