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Properties of the Number 6582

Six Thousand Five Hundred Eighty-Two

Basics

Value: 6581 → 6582 → 6583

Parity: even

Prime: No

Previous Prime: 6581

Next Prime: 6599

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1097

Divisors: 1, 2, 3, 6, 1097, 2194, 3291, 6582

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100110110110

Octal: 14666

Duodecimal: 3986

Hexadecimal: 19b6

Square: 43322724

Square Root: 81.12952606788727

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

Q-toothpick sequence (see Comments for precise definition). A187210
Number of strict integer partitions of 2·n with no subset summing to n. A321142
T(n,k)=Number of length n+k 0..2 arrays with at most one downstep in every k consecutive neighbor pairs. A255107
T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order. A222290
Triangle read by rows: T(n, k) is the number of nonequivalent ways to place k points on an n X n square grid so that no more than 2 points are on a vertical or horizontal straight line. A279453
Numbers which are the sum of their proper divisors containing the digit 9. A59468
Numbers 1 through 10000 sorted lexicographically in ternary representation. A190128
a(1) = 0, and for n > 1, a(n) = 2·a(A252463(n)) + [n == 1 (mod 2)]*[J(3∣n) == -1], where J is the Jacobi-symbol. A292255
Number of nonequivalent ways to place 4 points on an n X n square grid so that no more than 2 points are on a vertical or horizontal straight line. A279448
a(n) = 27·n2 - 21·n + 6 (n>=1). A304164