Properties of the Number -5748

Seven Hundred Forty-Eight

Basics

Value: -5749 → -5748 → -5747

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 479

Divisors: 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011001110100

Octal: -13164

Duodecimal: -33B0

Hexadecimal: -1674

Square: 33039504

Square Root: 75.81556568409947

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

Expansion of ∏_m>=1 (1-m·q^m). A22661

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=1, k=-1 and l=0. A176855

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. A301841

Number of partitions of n where the difference between consecutive parts is at most 8. A238868

Numbers that are the sum of eight fourth powers in four or more ways. A345579

Numbers that are the sum of eight fourth powers in exactly four ways. A345836

Partial sums of A151791. A151792

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns. A221929

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*(1+x)². A166888

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) >= number of distinct parts of p. A241821