Properties of the Number -1756

Seven Hundred Fifty-Six

Basics

Value: -1757 → -1756 → -1755

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 439

Divisors: 1, 2, 4, 439, 878, 1756

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11011011100

Octal: -3334

Duodecimal: -1024

Hexadecimal: -6dc

Square: 3083536

Square Root: 41.90465367951393

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

G.f. satisfies: A(x) = 1/(1 + x·A(x⁴)) and also the continued fraction: 1 + x·A(x⁵) = [1; 1/x, 1/x⁴, 1/x¹⁶, 1/x⁶⁴, ..., 1/x^{4^(n-1}), ...]. A101914

Expansion of (φ(-x) / φ(-x³))² in powers of·where φ() is a Ramanujan θ function. A217771

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of M (as in A204026), given by min(F(i+1),F(j+1)), where F=A000045 (Fibonacci numbers). A204027

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 187", based on the 5-celled von Neumann neighborhood. A270676

Expansion of 1/(∑_k>=0 x^k³)². A363776

Number of partitions of n into parts 5k+2 or 5k+3. A3106

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951). A1522

Number of partitions of n into odd parts greater than 1. A87897

Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with k fixed points, k = 0, 1. A352833