Properties of the Number 2691

Two Thousand Six Hundred Ninety-One

Basics

Value: 2690 → 2691 → 2692

Parity: odd

Prime: No

Previous Prime: 2689

Next Prime: 2693

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 23

Divisors: 1, 3, 9, 13, 23, 39, 69, 117, 207, 299

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010000011

Octal: 5203

Duodecimal: 1683

Hexadecimal: a83

Square: 7241481

Square Root: 51.87484939737175

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 partitions of n without three consecutive parts in arithmetic progression. A238424

Numbers k such that 5·k + 1 is a square. A36666

Number of partitions of n having positive even rank (the rank of a partition is the largest part minus the number of parts). A101708

Number of partitions of n in which each part occurs a prime number (or 0) times. A55923

Generalized pentagonal numbers: a(n) = 12·n + 3·n*(n-1)/2. A151542

Number of compositions of n with all adjacent parts (x, y) satisfying x > 2y or y = 2x. A342336

Non-palindromic balanced numbers (in base 10). A256075

a(n) = n*(2 + 5·n). A168668

Numbers of the form k + wt(k) for exactly three distinct k, where wt(k) = A000120(k) is the binary weight of k. A230092

Positive numbers whose product of digits is 6 times their sum. A62037