Properties of the Number 4713

Four Thousand Seven Hundred Thirteen

Basics

Value: 4712 → 4713 → 4714

Parity: odd

Prime: No

Previous Prime: 4703

Next Prime: 4721

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 1571

Divisors: 1, 3, 1571, 4713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001001101001

Octal: 11151

Duodecimal: 2889

Hexadecimal: 1269

Square: 22212369

Square Root: 68.65129277733959

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

Indices of prime Cullen numbers: numbers k such that k·2^k + 1 is prime. A5849

Number of representations of n as a sum of products of pairs of positive integers, considered to be equivalent when terms or factors are reordered. A182269

Expansion of x*(1+x-x²)/((1-x)⁴*(1+x)). A5744

Number of partitions of n into partition numbers. A7279

Trajectory of 537 under the Reverse and Add! operation carried out in base 2, written in base 10. A77076

Sum of the second largest parts in the partitions of n into 8 parts. A308997

Let P1>=3, P2, P3 be consecutive primes, with P3-P2=2. a(n)=(P2+P3)/12 when P2-P1 sets a record. A329158

Positive integers of the form (2·m²+1)/11. A179088

Composite squarefree numbers n such that p+τ(n) divides n-σ(n), where p are the prime factors of n, τ(n) = A000005(n) and σ(n) = A000203(n). A229274

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j³*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i³*x(i,j), i=1..n+1} nondecreasing. A232860