Properties of the Number 47696

Forty-Seven Thousand Six Hundred Ninety-Six

Basics

Value: 47695 → 47696 → 47697

Parity: even

Prime: No

Previous Prime: 47681

Next Prime: 47699

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 11 × 271

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101001010000

Octal: 135120

Duodecimal: 23728

Hexadecimal: ba50

Square: 2274908416

Square Root: 218.39413911549917

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

Numbers whose sum of prime factors is equal to their product of prime indices. A331384

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222690

G.f.: A(q) = exp( ∑_n>=1 A002129(n) * 2·A006519(n) * qⁿ/n ). A161800

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)² * x^k*(4-x)^n-k. A217461

a(n) = ∑_{k=0..floor(n/2)} (n-2·k)^n-k. A353013

Number of maximal initial consecutive columns ending at the same level, summed over all deco polyominoes of height n. A140710

G.f. is Q₀(q) where Q₀(q⁴) is a series quadrisection of the g.f. of A161800. A161801

Ordered differences of central binomial coefficients. A205008

Self-locating strings within π: numbers n such that the string n is at position n (counting 3 and the decimal point) in decimal digits of π. A153220

Number of nX4 0..2 arrays with exactly floor(nX4/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222686