Properties of the Number 38824

Thirty-Eight Thousand Eight Hundred Twenty-Four

Basics

Value: 38823 → 38824 → 38825

Parity: even

Prime: No

Previous Prime: 38821

Next Prime: 38833

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 23 × 211

Divisors: 1, 2, 4, 8, 23, 46, 92, 184, 211, 422

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001011110101000

Octal: 113650

Duodecimal: 1A574

Hexadecimal: 97a8

Square: 1507302976

Square Root: 197.038067388005

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239599

The number of partitions of n into at least 3 parts from which we can form every partition of n into 3 parts by summing elements. A236970

Denominators of continued fraction convergents to sqrt(724). A42395

Let a(n) = the number of permutations (p(1),p(2),p(3)...,p(n)) of (1,2,3,...,n) where, if each (m,p(m)) is plotted on a graph, then the entire set P of the n of these plotted points would be on the perimeter of the convex hull of P. A156831

G.f. satisfies A(x) = 1 + x·A(x) / (1 - x²*A(x)⁴). A365692

Number of n X 5 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239597

Number of n X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239593

Number of 5Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239603

Number of primes between n·10000 and (n+1)*10000. A38824

5-Modular Catalan Numbers C_n,5. A261588