Properties of the Number 4809

Four Thousand Eight Hundred Nine

Basics

Value: 4808 → 4809 → 4810

Parity: odd

Prime: No

Previous Prime: 4801

Next Prime: 4813

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 229

Divisors: 1, 3, 7, 21, 229, 687, 1603, 4809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011001001

Octal: 11311

Duodecimal: 2949

Hexadecimal: 12c9

Square: 23126481

Square Root: 69.34695379034324

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 k such that 11·k+1 is a square. A219257

Partial sums of A097988 (d₃(n)²). A330570

Number of ways of placing n labeled balls into n unlabeled (but7-colored) boxes. A144263

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is expansion of ∏_j>=1 (1-x^j)^{j^k} in power of x. A283272

Triangle of generalized Stirling numbers of the first kind read by rows: T(n, k) = (-1)^n+k*∑_m=0..n Stirling1(n, m) * binomial(m, k), where Stirling1 is A048994. A94645

T(n,k)=Number of length n+2 0..k arrays with the medians of every three consecutive terms nondecreasing. A250140

Numbers k that, when expressed in base 6 and then interpreted in base 8, give a multiple of k. A62937

Expansion of exp( ∑_n>=1 -sigma₅(n)*xⁿ/n ) in powers of x. A283271

Number of integer partitions of n not containing 1 or any part whose prime indices all belong to the partition. A324755

E.g.f.: ∑_n>=0 3ⁿ*(exp(n·x) - 1)ⁿ. A195263