Properties of the Number 38685

Thirty-Eight Thousand Six Hundred Eighty-Five

Basics

Value: 38684 → 38685 → 38686

Parity: odd

Prime: No

Previous Prime: 38677

Next Prime: 38693

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 2579

Divisors: 1, 3, 5, 15, 2579, 7737, 12895, 38685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001011100011101

Octal: 113435

Duodecimal: 1A479

Hexadecimal: 971d

Square: 1496529225

Square Root: 196.68502739151245

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 k² * 2^k - 1 is prime. A58781

a(n) = 46·n² - 1. A158634

Indices of primes in sequence defined by A(0) = 61, A(n) = 10·A(n-1) + 81 for n > 0. A101541

Number of nX3 0..1 arrays with no more than floor(nX3/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222536

Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010011. A260761

Numbers k such that either k²*2^k-1 or k²*2^k+1 is prime, but not both. A237759

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222541

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010011. A260767

G.f. A(x) satisfies [x^2·n] A(x)^5·n = 5 and [x^2·n+1] A(x)^5·n+2 = [x^2·n+1] A(x)^5·n+3 for n >= 1. A377097

Ninth powers ending nontrivially in a nonzero ninth power. A38685