Properties of the Number 6550

Six Thousand Five Hundred Fifty

Basics

Value: 6549 → 6550 → 6551

Parity: even

Prime: No

Previous Prime: 6547

Next Prime: 6551

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 ² × 131

Divisors: 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110010110

Octal: 14626

Duodecimal: 395A

Hexadecimal: 1996

Square: 42902500

Square Root: 80.93207028119323

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

Expansion of ∏_k>=1 1/(1 - 2·t^k). A70933

Number of compositions [p(1), p(2), ..., p(k)] of n such that p(j) <= 2·p(j-1) and p(j-1) <= 2·p(j). A224957

Number of integer partitions of n whose sequence of multiplicities is a palindrome. A317085

Number of integer partitions of n such that it is possible to choose a different constant integer partition of each part. A387330

Number of partitions of n into parts but with two kinds of parts of sizes 1,2,3,4 and 5. A103924

Partial sums of A072272. A253908

Sum over all partitions of n of the bitwise AND of the parts. A306901

Increasing gaps among twin primes: size. A36063

For a number k of length L, let f(k) be the sum of the products of the first i digits of k multiplied by the last L-i digits, for i from 1 to L-1, e.g., f(1234) = 1·234 + 12·34 + 123·4 = 1134. Sequence gives k such that f(k) = k. A65759

G.f. satisfies: A(x) = 1/(1 + x·A(x⁶)) and also the continued fraction: 1+x·A(x⁷) = [1;1/x,1/x⁶,1/x³⁶,1/x²¹⁶,...,1/x^{6^(n-1}),...]. A101916