Properties of the Number 8257

Eight Thousand Two Hundred Fifty-Seven

Basics

Value: 8256 → 8257 → 8258

Parity: odd

Prime: No

Previous Prime: 8243

Next Prime: 8263

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 23 × 359

Divisors: 1, 23, 359, 8257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000001000001

Octal: 20101

Duodecimal: 4941

Hexadecimal: 2041

Square: 68178049

Square Root: 90.86803618434813

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

Sum of squares of the first n primes. A24450

Numbers that are the sum of 4 positive 6th powers. A3360

Total sum T(n,k) of the sizes of all blocks with maximal element k in all set partitions of {1,2,...,n}; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A270701

Total sum T(n,k) of the sizes of all blocks with minimal element k in all set partitions of {1,2,...,n}; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A270702

Number of rectangular plane partitions of n. A323429

Square array A(n,m), n>=0, m>=0, read by antidiagonals: A(n,m) = n-th number of the m-th iteration of the hyperbinomial transform on the sequence of 1's. A144303

a(n) = 8·n² + 2·n + 1. A188135

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A50053

a(n) = (9·n² - 3·n + 2)/2. A80855

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 1 or 4 1s. A295120