Properties of the Number 16724

Sixteen Thousand Seven Hundred Twenty-Four

Basics

Value: 16723 → 16724 → 16725

Parity: even

Prime: No

Previous Prime: 16703

Next Prime: 16729

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 37 × 113

Divisors: 1, 2, 4, 37, 74, 113, 148, 226, 452, 4181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000101010100

Octal: 40524

Duodecimal: 9818

Hexadecimal: 4154

Square: 279692176

Square Root: 129.3213052826177

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

Fibonacci sequence beginning 0, 4. A22087

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239986

First partial sums of A048739; second partial sums of A000129. A48776

Number of unlabeled, connected graphs on n vertices which have no induced subgraph isomorphic to a C4 (cycle on 4 vertices.) A79566

Let S be the sequence Fibonacci(2n), n>0 (cf. A001906); sequence lists the differences S(j)-S(i) for i<j. A169690

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

a(n) = Fibonacci(n)*A113973(n) for n>=1, with a(0)=1, where A113973 lists the coefficients in φ(x³)³/φ(x) and φ() is a Ramanujan θ function. A205969

a(n) = (7·n³ + 6·n² + 5·n) / 6. A101165

G.f.: ∑_n>=0 xⁿ * (1 - xⁿ⁺¹)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323695

Sums of 5 distinct powers of 4. A38473