Properties of the Number 34415

Thirty-Four Thousand Four Hundred Fifteen

Basics

Value: 34414 → 34415 → 34416

Parity: odd

Prime: No

Previous Prime: 34403

Next Prime: 34421

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 6883

Divisors: 1, 5, 6883, 34415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011001101111

Octal: 103157

Duodecimal: 17ABB

Hexadecimal: 866f

Square: 1184392225

Square Root: 185.51280279269136

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 length n+1 0..k arrays with the sum of the minimum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250419

G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - 3·x * A(x)²)). A349256

Wiener index of a benzenoid consisting of a double-step spiral chain of n hexagons (n>=2, s=21; see the Gutman et al. reference). A193397

Number of 6-cycles in the n-triangular honeycomb obtuse knight graph. A290392

a(1) = 4, a(n+1) is the largest composite number < 2a(n). A76995

Number of length n+1 0..4 arrays with the sum of the minimum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250415

Number of length 6+1 0..n arrays with the sum of the minimum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250423

Numbers k such that 1 + (x + x³ + x⁵ + x⁷ + ... + x^2·k+1) is irreducible over GF(2). A107220

Numbers m such that (partial sums of m times (m 1's)) + 1 is prime; or m such that ∑_k=1..m A053422(k) + 1 is prime. A121914

Second term in extremal weight enumerator of doubly-even binary self-dual code of length 24n. A34415