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Properties of the Number 2688

Two Thousand Six Hundred Eighty-Eight

Basics

Value: 2687 → 2688 → 2689

Parity: even

Prime: No

Previous Prime: 2687

Next Prime: 2689

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 7 × 3 × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101010000000

Octal: 5200

Duodecimal: 1680

Hexadecimal: a80

Square: 7225344

Square Root: 51.84592558726288

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

Irregular triangle of multinomial coefficients of integer partitions read by rows (in Abramowitz and Stegun ordering) giving the coefficients of the cycle index polynomials for the symmetric groups Sn. A36039
a(n) = 2·a(n-1) + 4·a(n-2), a(0)=1, a(1)=2. A63727
Numbers that are divisible by exactly 9 primes with multiplicity. A46312
Number of "ON" cells in a 2-dimensional cellular automaton ("Fredkin's Replicator") evolving according to the rule that a cell is ON in a given generation if and only if there was an odd number of ON cells among the eight nearest neighbors in the preceding generation, starting with one ON cell. A160239
Number of integer partitions of n whose first differences (assuming the last part is zero) are unimodal. A332283
Number of integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even. A349060
Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group Sn, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function. A57731
Numbers that can be expressed as the difference of the squares of primes in just two distinct ways. A90788
Numbers m such that 6·m+1 is a perfect square. A62717
Number of partitions of n having (sum of odd parts) = (sum of even parts). A239261