Properties of the Number 34817

Thirty-Four Thousand Eight Hundred Seventeen

Basics

Value: 34816 → 34817 → 34818

Parity: odd

Prime: No

Previous Prime: 34807

Next Prime: 34819

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 37 × 941

Divisors: 1, 37, 941, 34817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100000000001

Octal: 104001

Duodecimal: 18195

Hexadecimal: 8801

Square: 1212223489

Square Root: 186.59314028120113

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236728

Denominators of continued fraction convergents to sqrt(569). A42091

a(n) = 34·n² + 1. A158586

Square array A(n,k), n>=0, k>=0, read by antidiagonals, A(n,k) = exponential transform applied n times to identity function, evaluated at k. A209631

Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236721

Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236727

Expansion of e.g.f. exp(exp(exp(x·exp(x)) - 1) - 1). A316158

Concatenations C1 and C2 and C3 are all prime (see the comment lines). A34817