Properties of the Number 16357

Sixteen Thousand Three Hundred Fifty-Seven

Basics

Value: 16356 → 16357 → 16358

Parity: odd

Prime: No

Previous Prime: 16349

Next Prime: 16361

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 × 1487

Divisors: 1, 11, 1487, 16357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111111100101

Octal: 37745

Duodecimal: 9571

Hexadecimal: 3fe5

Square: 267551449

Square Root: 127.89448776237387

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

G.f.: ∏_k>=1 (1 + x^{2·k - 1}) / (1 - x^2·k). A6950

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A50027

The difference between number of even and number of odd Grassmannian permutations of size n. A356185

Number of positive words of length n in the monoid Br₅ of positive braids on 6 strands. A97552

The number of order-preserving partial isometries (of an n-chain) of fix zero (fix of α = 0). Equivalently, the number of order-preserving partial derangement isometries (of an n-chain). A183155

a(n) = 2ⁿ - 27. A220087

O.g.f.: ∑_n>=0 nⁿ*(n+4)ⁿ * exp(-n*(n+4)*x) * xⁿ / n!. A222078

Number of binary digits in the high-water marks of the terms of the continued fraction of the base-2 Champernowne constant. A244331

Monotonic ordering of nonnegative differences 4ⁱ-3^j, for 40>=i>=0, j>=0. A192148

Bisection of A006950 (the even part). A233758