Properties of the Number 2739

Two Thousand Seven Hundred Thirty-Nine

Basics

Value: 2738 → 2739 → 2740

Parity: odd

Prime: No

Previous Prime: 2731

Next Prime: 2741

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 83

Divisors: 1, 3, 11, 33, 83, 249, 913, 2739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110011

Octal: 5263

Duodecimal: 1703

Hexadecimal: ab3

Square: 7502121

Square Root: 52.3354564325181

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

a(n) = 2·n² + 1. A58331

Partial sums of A299259. A299265

Triangle T(n,m) = ∑_k=0..m Catalan(n-k)*Catalan(k). A28364

a(n) = n*(5·n+1)/2. A5475

Number of partitions of n such that smaller parts do not occur more frequently than greater parts. A171979

Catalan triangle A028364 with row reversion. A67323

Number of finite sequences of distinct integer partitions with total sum n and weakly decreasing lengths. A358908

Minimal exponents m such that the fractional part of (10/9)^m obtains a maximum (when starting with m=1). A153695

Triangle T(n,k), read by rows n>=0 with terms k=1..3ⁿ, where row n lists the coefficients in the n-th iteration of (x+x²+x³). A166880

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4. A239047