Properties of the Number 34019

Thirty-Four Thousand Nineteen

Basics

Value: 34018 → 34019 → 34020

Parity: odd

Prime: Yes

Previous Prime: 33997

Next Prime: 34031

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 34019

Divisors: 1, 34019

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011100011

Octal: 102343

Duodecimal: 1782B

Hexadecimal: 84e3

Square: 1157292361

Square Root: 184.44240293381563

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

Third prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238675

Primes p such that 3·p+4, 5·p+6 and 7·p+8 are also prime. A173879

A McMullen transform involving x->x+1/x of Lehmer's polynomial gives the polynomial used to get this expansion sequence: p(x)=1 + x + 10 x² + 8 x³ + 44 x⁴ + 28 x⁵ + 113 x⁶ + 57 x⁷ + 191 x⁸ + 79 x⁹ + 227 x¹⁰ + 79 x¹¹ + 191 x¹² + 57 x¹³ + 113 x¹⁴ + 28 x¹⁵ + 44 x¹⁶ + 8 x¹⁷ + 10 x¹⁸ + x¹⁹ + x²⁰. A143465

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 1, 0), (1, -1, 1), (1, 1, 0)}. A150432

G.f. satisfies: A(A(x)) = ∑_n>=1 A(x)ⁿ⁽ⁿ⁺¹/2)/x^n(n-1/2). A173437

a(n) is the number of unlabeled rank-3 graded lattices with 5 coatoms and n atoms. A322600

G.f. A(x) satisfies [x^2·n] A(x)^3·n = -3 and [x^2·n+1] A(x)^3·n+1 = [x^2·n+1] A(x)^3·n+2 for n >= 1. A376225

Numbers that are imprimitively (and possibly also primitively) represented by x²+xy+y². A34019