Properties of the Number 4516

Four Thousand Five Hundred Sixteen

Basics

Value: 4515 → 4516 → 4517

Parity: even

Prime: No

Previous Prime: 4513

Next Prime: 4517

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

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

Number of (directed) Hamiltonian paths in the n-ladder graph. A137882

T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors. A208709

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

Numbers which are simultaneously of the form x²+y², x²+2y², x²+3y², x²+7y², all with x>0, y>0. A216451

E.g.f.: exp(1)*P(x) - Q(x), where P(x) = 1/∏_n>=1 (1 - xⁿ/n) and Q(x) = ∑_n>=1 1/∏_k=1..n (k - x^k). A249078

5-wave sequence. A38201