Properties of the Number 40024

Forty Thousand Twenty-Four

Basics

Value: 40023 → 40024 → 40025

Parity: even

Prime: No

Previous Prime: 40013

Next Prime: 40031

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5003

Divisors: 1, 2, 4, 8, 5003, 10006, 20012, 40024

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110001011000

Octal: 116130

Duodecimal: 1B1B4

Hexadecimal: 9c58

Square: 1601920576

Square Root: 200.05999100269898

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

Expansion of ∏_m>=1 1/(1 + m·q^m). A22693

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than four of its king-move neighbors. A282316

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1 - j^k*x^j)^j. A294580

Number of partitions of prime(n) into distinct parts not larger than prime(n-1). A318604

Number of nX4 0..1 arrays with no 1 equal to more than four of its king-move neighbors. A282312

Expansion of ∏_j>=1 (1 - (-1 + ∏_k>=1 (1 - x^k))^j). A306456

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, 1, -1), (1, 0, 0), (1, 1, 1)}. A150695

Number of n X n 0..1 arrays with no 1 equal to more than four of its king-move neighbors. A282309

Continued fraction for sqrt(30). A40024