Properties of the Number 34317

Thirty-Four Thousand Three Hundred Seventeen

Basics

Value: 34316 → 34317 → 34318

Parity: odd

Prime: No

Previous Prime: 34313

Next Prime: 34319

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 31 × 41

Divisors: 1, 3, 9, 27, 31, 41, 93, 123, 279, 369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011000001101

Octal: 103015

Duodecimal: 17A39

Hexadecimal: 860d

Square: 1177656489

Square Root: 185.24848177515517

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 strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x. A342342

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock equal. A236798

Divisors of 10¹⁵ - 1. A111117

T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..3 nXk array. A220358

Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock equal. A236791

Number of (n+1) X (6+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock equal. A236796

a(n) = 3·p⁵+12·p⁴+44·p³+170·p²+707·p+2455 +(4·p²+44·p+291)*gcd(p-1,3) +(p²+19·p+135)*gcd(p-1,4) +(3·p+31)*gcd(p-1,5) +4·gcd(p-1,7) +5·gcd(p-1,8) +gcd(p-1,9), where p = prime(n). A270866

Numbers k such that the sums (with multiplicity) of prime factors of k and k+1 are both squares. A359445

Majority value maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..3 nX4 array. A220357

Decimal part of a(n)^1/11 starts with reversal of its integer part: first term of runs. A34317