Properties of the Number 39524

Thirty-Nine Thousand Five Hundred Twenty-Four

Basics

Value: 39523 → 39524 → 39525

Parity: even

Prime: No

Previous Prime: 39521

Next Prime: 39541

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 41 × 241

Divisors: 1, 2, 4, 41, 82, 164, 241, 482, 964, 9881

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001101001100100

Octal: 115144

Duodecimal: 1AA58

Hexadecimal: 9a64

Square: 1562146576

Square Root: 198.80643852752857

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 φ(k) = φ(k+1). A1274

Monotonic ordering of nonnegative differences 7ⁱ-5^j, for 40>= i>=0, j>=0. A192196

G.f. satisfies A(x) = ( 1 + x·A(x)²*(1 + x·A(x)) )². A365153

a(n) = 5ⁿ - n⁶. A24055

Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 2. A33811

Numbers k such that λ(k) = λ(k+1). A173695

Imaginary part of g.f. C(x) that satisfies: C(x) = 1 + x·C(I·x)². A193378

Number of (n+1)X(3+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or vertically, with no adjacent elements equal. A232401

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, 0), (-1, 0, 1), (1, 0, 1), (1, 1, 0)}. A150696

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or vertically, with no adjacent elements equal. A232406