Properties of the Number 2613

Two Thousand Six Hundred Thirteen

Basics

Value: 2612 → 2613 → 2614

Parity: odd

Prime: No

Previous Prime: 2609

Next Prime: 2617

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 67

Divisors: 1, 3, 13, 39, 67, 201, 871, 2613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000110101

Octal: 5065

Duodecimal: 1619

Hexadecimal: a35

Square: 6827769

Square Root: 51.11751167652823

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

Multiples of 13 containing a 13 in their decimal representation. A121033

Number of non-weakly alternating integer compositions of n. A349053

Number of partitions of n such that every part divides the largest part; a(0) = 1. A130689

Number of strict integer partitions of n with no difference -2. A350844

a(n) = n*(31·n-1)/2. A22288

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244788

a(n) = n*(3·n + 17)/2. A140674

T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231855

3 times 13-gonal (or tridecagonal) numbers: a(n) = 3·n*(11·n - 9)/2. A153875

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero and first differences in -k..k. A209032