Properties of the Number 2686

Two Thousand Six Hundred Eighty-Six

Basics

Value: 2685 → 2686 → 2687

Parity: even

Prime: No

Previous Prime: 2683

Next Prime: 2687

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 17 × 79

Divisors: 1, 2, 17, 34, 79, 158, 1343, 2686

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001111110

Octal: 5176

Duodecimal: 167A

Hexadecimal: a7e

Square: 7214596

Square Root: 51.82663407939975

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 whose negated run-lengths are not unimodal. A332639

Numbers k such that σ(k) = σ(k+12). A15882

Main diagonal of array in A163280. A164000

Decimal part of cube root of n starts with 9: first term of runs. A34135

Numbers k with property that for every base b >= 2, there is a number m such that m+s(m) = k, where s(m) = sum of digits in the base-b expansion of m. A230624

Number of positive solutions to x²+y²+z² <= n². A253663

a(1)=1; thereafter, a(n) is the smallest number such that both the addition and multiplication tables for (a(1),...,a(n)) contain n*(n+1)/2 different entries (the maximum possible). A337655

Numbers k such that σ(k) = σ(k-1). A231546

Triangle read by rows in which row n lists numbers k such that the greatest prime factor of k² - 2 is A038873(n), the n-th prime not congruent to 3 or 5 mod 8. A242488

T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once. A269089