Properties of the Number 47334

Forty-Seven Thousand Three Hundred Thirty-Four

Basics

Value: 47333 → 47334 → 47335

Parity: even

Prime: No

Previous Prime: 47317

Next Prime: 47339

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 ³ × 23

Divisors: 1, 2, 3, 6, 7, 14, 21, 23, 42, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1011100011100110

Octal: 134346

Duodecimal: 23486

Hexadecimal: b8e6

Square: 2240507556

Square Root: 217.56378375088073

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

Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 1. A380889

The least number k > A255334(n) for which A000203(k) = A000203(A255334(n)) and A007947(k) = A007947(A255334(n)), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255423

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221234

Number of 4 element sets of distinct integer sided rectangles that fill an n X n square. A387171

Numbers n for which there exists k < n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255335

Pasquale's sequence: a(n) = 2a(n-1) + (-1)ⁿ*floor(n/2), with a(1)=1. A177143

Number of nX2 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221230

Numbers k such that k = rad(k) * sopfr(k), where rad(k) is the squarefree kernel of k and sopfr(k) the integer log of k. A280935

a(n) = K₄(n) = ∑_k>=0 A090285(4,k)*2^k*binomial(n,k). a(n) = 2*(n⁴+14·n³+62·n²+91·n+21)/3. A90296

Triangle t(n,m)=A039757(n,m)+A039757(n,n-m) read by rows. A155719