Properties of the Number 8270

Eight Thousand Two Hundred Seventy

Basics

Value: 8269 → 8270 → 8271

Parity: even

Prime: No

Previous Prime: 8269

Next Prime: 8273

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 827

Divisors: 1, 2, 5, 10, 827, 1654, 4135, 8270

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000001001110

Octal: 20116

Duodecimal: 4952

Hexadecimal: 204e

Square: 68392900

Square Root: 90.93954035511726

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 integer partitions of n that cannot be partitioned into constant multisets with a common sum. A381993

Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions. A230856

G.f.: 1/(1 - x*(1-x⁶)/(1 - x²*(1-x⁷)/(1 - x³*(1-x⁸)/(1 - x⁴*(1-x⁹)/(1 - x⁵*(1-x¹⁰)/(1 - ...)))))), a continued fraction. A227375

Number of ways to write n as an ordered sum of 5 prime powers (including 1). A341134

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1. A286979

Triangular array formed by the little Schröder numbers s(n,k). A110440

Positions of check bits in code in A075934. A75936

Triangle read by rows: T(n,k) is the number of partitions of binomial(n,k) into parts of the first n rows of Pascal's triangle, 0<=k<=n. A132311

Index where prime(n) appears as a term in A379442. A379558

Triangle read by rows: T(n,k), n>=1, k>=1, in which column k lists the numbers of A210843 multiplied by A000330(k), and the first element of column k is in row A000217(k). A249120