Properties of the Number 32024

Thirty-Two Thousand Twenty-Four

Basics

Value: 32023 → 32024 → 32025

Parity: even

Prime: No

Previous Prime: 32009

Next Prime: 32027

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 4003

Divisors: 1, 2, 4, 8, 4003, 8006, 16012, 32024

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111110100011000

Octal: 76430

Duodecimal: 16648

Hexadecimal: 7d18

Square: 1025536576

Square Root: 178.9525076661403

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

Triangular matrix, read by rows, equal to the matrix square of A102225, such that the first differences of row k forms row (k+1) of A102225. A102228

Number of partitions of 2n into parts with 10 types c¹ c²...C¹⁰ of each part. The even parts appear with multiplicity 1 for each type . The odd parts occur with multiplicity 2 for each part. A103261

Number of triangles on a 4 X n grid. A296367

Number of sequences of n 2's and 3's with curling number 2, which have the form XY² with Y = 2, and which are robust. A217929

a(n) = [xⁿ] (theta₃(x)/theta₄(x))ⁿ, where theta_() is the Jacobi θ function. A294592

Number of compositions (ordered partitions) of n into distinct prime powers (including 1). A331925

Partial sums of A004977. A116100

Number n in the rational base 7/3. A389934

The number of steps before reaching 1 or a repeated value, or -1 if neither occur, when starting at k = n and iterating k -> k/Lpf(k) - 1 if ω(k) is even, else k -> k·Lpf(k) + 1, where Lpf(k) (A020639) is the least prime dividing k and ω(k) (A001222) is the number of prime divisors of k counted with multiplicity. A365477

"AGK" (ordered, elements, unlabeled) transform of 2,1,1,1,... A32024