Properties of the Number 34048

Thirty-Four Thousand Forty-Eight

Basics

Value: 34047 → 34048 → 34049

Parity: even

Prime: No

Previous Prime: 34039

Next Prime: 34057

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁸ × 7 × 19

Divisors: 1, 2, 4, 7, 8, 14, 16, 19, 28, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010100000000

Octal: 102400

Duodecimal: 17854

Hexadecimal: 8500

Square: 1159266304

Square Root: 184.52100151473275

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

Numbers of the form p⁸*q·r where p, q, and r are distinct primes. A179747

Monotonic ordering of set S generated by these rules: if·and y are in S then x²+y²-xy is in S, and 2 is in S. A192533

tan(sin(arcsinh(x)))=x-4/5!*x⁵+32/7!*x⁷+80/9!*x⁹-34048/11!*x¹¹... A12036

Binomial transform of generalized Lucas numbers S(n) = S(n-1) + S(n-2) + S(n-3), S(0)=3, S(1)=1, S(2)=3. A73313

Numbers k such that the number of steps to reach 1 in '3x+1' problem equals τ(k), the number of divisors of k. A70980

Totally multiplicative sequence with a(p) = 9p+1 for prime p. A166667

G.f. satisfies A(x) = 1 + 2·x + 2·x²*A(x)². A367071

Maximum of the absolute values of the coefficients of P(n,x) where P(n,x) = 4^n-1*∏_k=0..n (x - cos(k*π/n)²). A76625

Numbers that are the product of exactly 10 primes and are of the form prime(n) + prime(n + 1). A281927

Fourier coefficients of the modular form (1/t_6a) * (1-6·sqrt(-3)/t_6a) * (1-12·sqrt(-3)/t_6a)^5/3 * F_6a¹⁶. A341571