Properties of the Number 16353

Sixteen Thousand Three Hundred Fifty-Three

Basics

Value: 16352 → 16353 → 16354

Parity: odd

Prime: No

Previous Prime: 16349

Next Prime: 16361

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 79

Divisors: 1, 3, 9, 23, 69, 79, 207, 237, 711, 1817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111111100001

Octal: 37741

Duodecimal: 9569

Hexadecimal: 3fe1

Square: 267420609

Square Root: 127.8788489156827

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

Dedekind numbers: inequivalent monotone Boolean functions of n or fewer variables, or antichains of subsets of an n-set. A3182

A 9th-order Fibonacci sequence. A127193

a(n) = 5ⁿ+3ⁿ-1. A155603

Ulam's spiral (NNW spoke). A143860

Expansion of g.f. 1/ (1-x¹*(1-x^m+1)/ (1-x²*(1-x^m+2)/ (1- ... ))) for m=6. A228646

a(n) = 12·n² - 2·n - 1. A185918

E.g.f. satisfies A(x) = exp( 3·x*A(x) / (1-x) ). A361212

a(n) = n! * ∑_{k=0..floor(n/2)} (-k/2)^k / (k! * (n-2·k)!). A362340

G.f.: A(x) = ( G(x)⁵ - G(x⁵) - 5·x*((1-x⁴)/(1-x))/(1-x⁵) )/(25·x²) where G(x) is the g.f. of A110631. A111583

Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero. A190073