Properties of the Number 34061

Thirty-Four Thousand Sixty-One

Basics

Value: 34060 → 34061 → 34062

Parity: odd

Prime: Yes

Previous Prime: 34057

Next Prime: 34123

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 34061

Divisors: 1, 34061

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000010100001101

Octal: 102415

Duodecimal: 17865

Hexadecimal: 850d

Square: 1160151721

Square Root: 184.55622449540954

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

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Primes of the form j² + (j+1)². A27862

Numbers k such that 3^k - 32 is prime. A219049

a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist). A168253

Wiener index of a benzenoid consisting of a zig-zag chain of n hexagons (s=13; see the Gutman et al. reference). A193393

Primes for which the five closest primes are smaller. A75037

Smallest prime p such that there is a gap of exactly 2·prime(n) between p and the next prime. A80082

Number of partitions of 5n such that cn(0,5) <= cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5). A202087

Number of integer partitions of n with more than one non-co-mode. A363128

Primes p such that (r-p)/log(p) > 4, where r is the next prime after p. A82889