Properties of the Number 34519

Thirty-Four Thousand Five Hundred Nineteen

Basics

Value: 34518 → 34519 → 34520

Parity: odd

Prime: Yes

Previous Prime: 34513

Next Prime: 34537

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 34519

Divisors: 1, 34519

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011011010111

Octal: 103327

Duodecimal: 17B87

Hexadecimal: 86d7

Square: 1191561361

Square Root: 185.7928954508218

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

Expansion of 1 / ((1-x)⁴ - x⁷). A392545

G.f. A(x) satisfies: A(x) = 1 + x + x² + x³ + x⁴ * A(x/(1 - 2·x)) / (1 - 2·x). A351343

Value of prime number D for incrementally largest values of minimal·satisfying the equation x² - D·y² = 2. A336786

Numbers k such that 4·10^k + 7·R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k. A56708

Odd numbers n containing 65536 as the highest power of 2 in their Collatz (3x+1) iteration. A247716

Values of prime numbers, D, for incrementally largest values of minimal y satisfying the equation x² - D·y² = 2. A336788

Primes p such that p, x+y, x-y, p-x·y and p+x·y are prime, where y = p mod 5 and x = (p-y)/5. A342771

Number of (n+2) X (6+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252693

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A316818

Multiplicity of highest weight (or singular) vectors associated with character chi₁₃₁ of Monster module. A34519