Properties of the Number 4629

Four Thousand Six Hundred Twenty-Nine

Basics

Value: 4628 → 4629 → 4630

Parity: odd

Prime: No

Previous Prime: 4621

Next Prime: 4637

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 1543

Divisors: 1, 3, 1543, 4629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000010101

Octal: 11025

Duodecimal: 2819

Hexadecimal: 1215

Square: 21427641

Square Root: 68.03675477269621

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

Number of integer partitions of n containing three parts (a,b,c) (repeats allowed) such that a + b = c. A variation of sum-full partitions. A363225

Numbers k such that 3^k + 4 is prime. A58958

T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero. A232955

Earliest positive increasing sequence with no 5-term subsequence of constant third differences. A240557

Number of integer partitions of n such that it is not possible to choose a different constant integer partition of each part. A387329

Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways. A13583

Numbers n such that n!9-1 is prime. A204659

Expansion of x/((1-x)³*(1-x²)³*(1-x³)). A164680

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

a(n) = numerator(∑_k=1..n (2^k-2)/k). A330718