Properties of the Number -4516

Five Hundred Sixteen

Basics

Value: -4517 → -4516 → -4515

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 1129

Divisors: 1, 2, 4, 1129, 2258, 4516

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000110100100

Octal: -10644

Duodecimal: -2744

Hexadecimal: -11a4

Square: 20394256

Square Root: 67.20119046564577

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

Triangle of numerators of coefficients of Faulhaber polynomials in Knuth's version. A93556

Inverse Euler transform of {1, primes}. A30011

∏_n>=1 (1 + a(n)*xⁿ) = 1 + x + ∑_n>=2 prime(n-1)*xⁿ. A353606

∏_n>=1 (1 + xⁿ)^a(n) = 1 + x + ∑_n>=2 prime(n-1) * xⁿ. A353161

∏_n>=1 1 / (1 - a(n)*xⁿ) = 1 + x + ∑_n>=2 prime(n-1)*xⁿ. A353951

Triangle read by rows: T(n,k) is the numerator of A(n,k), such that A(n,k) satisfies the identity for sums of odd powers: ∑_k=1..p k^2n-1 = 1/(2·n) * ∑_k=0..n-1 A(n,k) * (p²+p)^n-k, for all integers p >= 1. A385567

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

Number of partitions of n whose median is a part. A238478

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal. A232589

Expansion of (1-x)/(1 - 3·x - 2·x²). A104934