Properties of the Number -2761

Seven Hundred Sixty-One

Basics

Value: -2762 → -2761 → -2760

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

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

Today's Target

2196 Try Today's Challenge

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

Corresponds to m = 3 in a family of 4th-order linear recurrence sequences given by a(m,n) = m⁴*a(n-4) + (2·m)²*a(n-3) - 4·a(n-1), a(m,0) = -1, a(m,1) = 4, a(m,2) = -13 + 6*(m-1) + 3*(m-1)², a(m,3) = (-8+m²)². A113249

Expansion of ∏_k>=1 (1 - k^k*x^k). A292312

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1-j^k·j*x^j) in powers of x. A294653

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of exp(-∑_j>0 sigma_k(j)*x^j/j) in powers of x. A294947

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