Properties of the Number 30791

Thirty Thousand Seven Hundred Ninety-One

Basics

Value: 30790 → 30791 → 30792

Parity: odd

Prime: No

Previous Prime: 30781

Next Prime: 30803

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 41 × 751

Divisors: 1, 41, 751, 30791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100001000111

Octal: 74107

Duodecimal: 1599B

Hexadecimal: 7847

Square: 948085681

Square Root: 175.47364474473082

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

Numerator of q_n = -4·n + 2*(1+n)*HarmonicNumber(n). A115107

(prime(n)*(prime(n+1)-1) + (prime(n)-1)*prime(n+1)) / 2. A99909

Integers k such that 10^k - 27 is prime. A108329

Expansion of x⁶/((1 - x)²*(1 - 2·x + x³ - x⁴)). A290986

a(n) = numerator of AM(n)-HM(n), where AM(n) and HM(n) are the arithmetic and harmonic means of the first n positive integers. A368372

Numerators of row sums of array of ratios A111879(n,k)/A111880(n,k). A111881

Number of binary words of length n containing at least one subword 10001 and no subwords 10ⁱ1 with i<3. A143283

[(1+eⁿ)/(1+e·n)], where [ ]=floor. A191693

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in an em 1,1 1,2 2,2 2,3 3,3 in any orientation. A146151

a(n) = denominator of AM(n)-HM(n), where AM(n) and HM(n) are the arithmetic and harmonic means of the first n positive integers. A368373