Properties of the Number 20034

Twenty Thousand Thirty-Four

Basics

Value: 20033 → 20034 → 20035

Parity: even

Prime: No

Previous Prime: 20029

Next Prime: 20047

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 × 53

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111001000010

Octal: 47102

Duodecimal: B716

Hexadecimal: 4e42

Square: 401361156

Square Root: 141.54151334502538

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

Octagonal pyramidal numbers: a(n) = n*(n+1)*(2·n-1)/2. A2414

Number of integer partitions of n whose multiplicities cover an initial interval of positive integers. A317081

G.f. satisfies: A(x) = 1/(1-x) * A(x²)*A(x³)*A(x⁴)*...*A(xⁿ)*... A129374

Sum of the denominators of the Farey series of order n (A006843). A240877

Structured icosidodecahedral numbers. A100147

a(n) = (n+1)*(2·n+1)*(4·n+1). A79588

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 4. A241649

Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from the 3 vertices and the equally spaced 3·n points placed on the sides of an equilateral triangle, using only a compass. A372617

Expansion of a(q) * b(q)³ in powers of q where a(), b() are cubic AGM θ functions. A215711

Number of 0..n arrays x(0..3) of 4 elements without any two consecutive increases or two consecutive decreases. A200839