Properties of the Number 30347

Thirty Thousand Three Hundred Forty-Seven

Basics

Value: 30346 → 30347 → 30348

Parity: odd

Prime: Yes

Previous Prime: 30341

Next Prime: 30367

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 30347

Divisors: 1, 30347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011010001011

Octal: 73213

Duodecimal: 1568B

Hexadecimal: 768b

Square: 920940409

Square Root: 174.20390351539197

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 T₀ integer partitions of n. A319564

Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,3,9, Q starts with 2,6, R starts with 4; at each stage the smallest number not yet present in P,Q,R is appended to R. Sequence gives P. A225385

For any n > 0, if A006666(n) >= 0, then a(n) = ∑_{i = 0..A006666(n)-1} 2ⁱ * [Tⁱ(n) == 0 (mod 2)] (where [] is an Iverson bracket and Tⁱ denotes the i-th iterate of the Collatz function A014682); otherwise a(n) = -1. A304715

Primes p such that q·p +- (p mod q) are primes, for q=8. A178416

Number of (n+2)X(n+2) symmetric binary matrices without the pattern 0 1 1 diagonally, vertically or horizontally. A190537

Discriminants of imaginary quadratic fields with class number 39 (negated). A351677

Primes having only {0, 3, 4, 7} as digits. A386058

Indices n of Riemann ζ zeros for successive records of the normalized δ defined as d(n) = (z(n+1)-z(n))*(log(z(n)/(2Pi))/(2Pi)) where z(n) is the imaginary part of the n-th Riemann zero. A329742

Length of n-th run of digit 1 in A030341. A30347