Properties of the Number 38707

Thirty-Eight Thousand Seven Hundred Seven

Basics

Value: 38706 → 38707 → 38708

Parity: odd

Prime: Yes

Previous Prime: 38699

Next Prime: 38711

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 38707

Divisors: 1, 38707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011100110011

Octal: 113463

Duodecimal: 1A497

Hexadecimal: 9733

Square: 1498231849

Square Root: 196.74094642447972

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

Largest squarefree number k such that Q(sqrt(-k)) has class number n. A38552

Discriminants of imaginary quadratic fields with class number 19 (negated). A46016

Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1. A2149

Primes p such that the concatenation of p³, p², p and 1 is prime. A323428

First of three consecutive primes p,q,r such that r²-p²+p, r²-p²+q and r²-p²+r are consecutive primes. A347531

Primes of the form floor(π*k²). A227794

Lucky primes k such that k+6 is also a lucky prime. A309381

Largest number k such that C(-k) is the cyclic group of order n, where C(D) is the class group of the quadratic field with discriminant D; or 0 if no such k exists. A357600

Lesser of 2 successive primes (k, k+4) sandwiching 3 consecutive nonsquarefree numbers. A366352

a(n) = floor(n*(n+1/2)/2). A38707