Properties of the Number 2655

Two Thousand Six Hundred Fifty-Five

Basics

Value: 2654 → 2655 → 2656

Parity: odd

Prime: No

Previous Prime: 2647

Next Prime: 2657

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 59

Divisors: 1, 3, 5, 9, 15, 45, 59, 177, 295, 531

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 101001011111

Octal: 5137

Duodecimal: 1653

Hexadecimal: a5f

Square: 7049025

Square Root: 51.526692111953004

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

Penrice Christmas gift numbers, Card-matching numbers (Dinner-Diner matching numbers): Triangle T(n,k) = number of ways to get k matches for a deck with n cards, 2 of each kind. A59056

a(n) = n*(n + 14). A98848

a(n) = n² + n + 3. A27688

Number of integer partitions of n such that every permutation has all distinct runs. A351204

Numerator of 1/49 - 1/n². A61047

Numbers k such that k and k + 1 are both Niven numbers in base 3/2 (A342426). A342427

Numbers k for which nontrivial positive magic squares of exactly 6 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125013

Numbers k such that lcm(1,2,3,...,k)/5 equals the denominator of the k-th harmonic number H(k). A112814

a(n) = ∑_{k=0..floor(n/2)} T(n,k), T given by A026758. A26766

Sums of five consecutive squares: a(n) = n² + (n+1)² + (n+2)² + (n+3)² + (n+4)². A27578