Properties of the Number 16688

Sixteen Thousand Six Hundred Eighty-Eight

Basics

Value: 16687 → 16688 → 16689

Parity: even

Prime: No

Previous Prime: 16673

Next Prime: 16691

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 7 × 149

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000100110000

Octal: 40460

Duodecimal: 97A8

Hexadecimal: 4130

Square: 278489344

Square Root: 129.18204209564115

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

a(n) = (3·n+1)*(4·n+1). A33577

Number of rectangular twice-partitions of n of type (P,R,P). A358833

a(0) = 12, after which, if a(n-1) = ∏_{k >= 1} (p_k)^c_k, then a(n) = (1/2) * (1 + ∏_{k >= 1} (p_k+1)^c_k), where p_k indicates the k-th prime, A000040(k). A246342

a(n) = ∑_d∣n 2^d*φ(2·n/d). A306898

Records in A139251. A152768

a(n) = 2·a(n-1) - a(n-2) + a(n-3) - a(n-4), where a(0) = 2, a(1) = 4, a(2) = 5, a(3) = 6. A288429

Numbers k such that σ(k) = ψ(k) + φ(k) + ω(k)⁴. A393425

Expansion of e.g.f. sech(arcsin(x)*log(x+1)). A12315

First differences of A084449. A84465

Number of binary strings of length n with no substrings equal to 0010 or 1100. A164405