Properties of the Number 2761

Two Thousand Seven Hundred Sixty-One

Basics

Value: 2760 → 2761 → 2762

Parity: odd

Prime: No

Previous Prime: 2753

Next Prime: 2767

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 251

Divisors: 1, 11, 251, 2761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011001001

Octal: 5311

Duodecimal: 1721

Hexadecimal: ac9

Square: 7623121

Square Root: 52.54521862167861

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

Fifth spoke of a hexagonal spiral. A56109

Generalized 13-gonal numbers: m*(11·m-9)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A195313

Centered 10-gonal numbers. A62786

Number of permutations in S_n with longest increasing subsequence of length <= 3 (i.e., 1234-avoiding permutations); vexillary permutations (i.e., 2143-avoiding). A5802

Number of integer partitions of n without any three parts (a,b,c) (repeats allowed) satisfying a + b = c. A variation of sum-free partitions. A364345

Concentric pentagonal numbers: floor( 5·n² / 4 ). A32527

Number of permutations A(n,k) in S_n with longest increasing subsequence of length <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A214015

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition). A160118

Trajectory of 40 under the map n-> A006369(n). A217729

Numbers n such that the decimal expansions of both n and n² have 1 as smallest digit and 7 as largest digit. A257210