Properties of the Number 6506

Six Thousand Five Hundred Six

Basics

Value: 6505 → 6506 → 6507

Parity: even

Prime: No

Previous Prime: 6491

Next Prime: 6521

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 3253

Divisors: 1, 2, 3253, 6506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101101010

Octal: 14552

Duodecimal: 3922

Hexadecimal: 196a

Square: 42328036

Square Root: 80.65977932030313

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 fully normal integer partitions of n. A317491

Expansion of ∏_k>0 1/theta₃(q^k), where theta₃() is the Jacobi θ function. A320068

Number of partitions of n having no parts with multiplicity 8. A184643

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0. A267328

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s. A296963

Number of positive integers that are not the sum of distinct n-th-order polygonal numbers. A25524

Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component or all components by the same positive integer; square array A(n,k), n>=0, k>=0, read by antidiagonals. A229345

Numbers k such that the first k binary digits of π expressed in decimal forms a prime. A65987

An unrestricted partition statistic: sum of A179864 over row n. A179862

a(n) is the smallest j such that 1/2 + 1/5 + 1/8 + ... + 1/j exceeds n. A91464