Properties of the Number 16075

Sixteen Thousand Seventy-Five

Basics

Value: 16074 → 16075 → 16076

Parity: odd

Prime: No

Previous Prime: 16073

Next Prime: 16087

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 643

Divisors: 1, 5, 25, 643, 3215, 16075

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111011001011

Octal: 37313

Duodecimal: 9377

Hexadecimal: 3ecb

Square: 258405625

Square Root: 126.78722333105966

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 k such that (2·k)!/(2*(k!)²) - 1 is prime. A112861

Cyclops numbers whose squares are cyclops numbers. A239827

a(n) = floor(1/(n-1) * ∑_k=1..n-1 a(k)^n/k), given a(0)=1, a(1)=2, a(2)=7. A79119

Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 5. A210377

G.f. satisfies: A(x) = exp( ∑_n>=1 [∑_k=0..n C(n,k)³ * x^k*A(x)^n-k] * xⁿ/n ). A200212

a(n) = n! * ∑_k=1..n ( ∑_d∣k d^{k/d + 1} )/(k * (n-k)!). A354340

Numbers k such that k, k² and k³ are cyclops numbers (A134808). A286662

Order of 5 mod n-th prime: least k such that prime(n) divides 5^k-1. A211241

Expansion of 1/((1-8·x)*(1-9·x)*(1-10·x)*(1-11·x)). A16075

Numbers k such that the smoothly undulating palindromic number (32·10^k - 23)/99 is a prime. A62217