Properties of the Number 8057

Eight Thousand Fifty-Seven

Basics

Value: 8056 → 8057 → 8058

Parity: odd

Prime: No

Previous Prime: 8053

Next Prime: 8059

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 1151

Divisors: 1, 7, 1151, 8057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101111001

Octal: 17571

Duodecimal: 47B5

Hexadecimal: 1f79

Square: 64915249

Square Root: 89.76079322287654

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 compositions minus number of partitions: A011782(n) - A000041(n). A56823

Triangle P, read by rows, where column k of P² equals column 0 of P^2k+2 such that column 0 of P² equals column 0 of P shift one place left, with P(0,0)=1. A135880

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s. A297544

Generalized Pellian with second term of 6. A48875

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,34). A250241

Numbers n such that a new circle appears in the structure of A211000. A211021

Number of integer partitions of n whose LCM is less than n. A327781

Column 2 of triangle A135880. A135883

Triangle, read by rows equal to the matrix product P^-1·R, where P = A135880 and R = A135894; P^-1·R equals triangle P shifted right one column. A135898

Number of partitions of n² into distinct odd parts. A281489