Properties of the Number -7752

Seven Hundred Fifty-Two

Basics

Value: -7753 → -7752 → -7751

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 17 × 19

Divisors: 1, 2, 3, 4, 6, 8, 12, 17, 19, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -1111001001000

Octal: -17110

Duodecimal: -45A0

Hexadecimal: -1e48

Square: 60093504

Square Root: 88.04544281222056

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. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

Tenth convolution of A115140. A115149

Inverse of Riordan array (1/(1-x), x/(1-x)³), A109955. A109956

Expansion of (∑_n=-inf..inf x^n²)^-17. A4418

G.f. A(x) satisfies: A(x) = x/f(x,A(x)) where f(,) is Ramanujan's θ function; i.e., A(x) = x/∑_n=-oo,+oo x^n*(n+1/2)*A(x)^n*(n-1/2). A107944

Series reversion of x+x³+x⁴. A217359

Expansion of reversion of (x - 2·x²) / (1 - x)³. A134565

Triangle read by rows: Riordan array (2 - D(x), x·D(x)) where D(x) is g.f. of A001764. A380191

a(n) = binomial(3·n,n)/(2·n+1) (enumerates ternary trees and also noncrossing trees). A1764

Triangle formed from odd-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). Sometimes called Catalan's triangle. A39598