Properties of the Number 4609

Four Thousand Six Hundred Nine

Basics

Value: 4608 → 4609 → 4610

Parity: odd

Prime: No

Previous Prime: 4603

Next Prime: 4621

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 419

Divisors: 1, 11, 419, 4609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000001

Octal: 11001

Duodecimal: 2801

Hexadecimal: 1201

Square: 21242881

Square Root: 67.88961628997471

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: Yes

OEIS Sequences

Cullen numbers: a(n) = n·2ⁿ + 1. A2064

Sum of 10 positive 9th powers. A3399

Numerator of 1/n + 2/(n-1) + 3/(n-2) + ... + (n-1)/2 + n. A27612

Values of n such that L(10) and N(10) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227448

Reve's puzzle: number of moves needed to solve the Towers of Hanoi puzzle with 4 pegs and n disks, according to the Frame-Stewart algorithm. A7664

Third row of Pascal-(1,3,1) array A081578. A81585

Array T read by diagonals, n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is (k+n)², for n=1,2,3,...; k=0,1,2,... A48505

Numerator - denominator in n-th harmonic number, 1 + 1/2 + 1/3 + ... + 1/n. A64169

Sums of distinct powers of 8. A33045

Array T by antidiagonals, T(k,n)=(k+1)*n·2^n-1+1, n >= 0, k >= 1. A48472