Properties of the Number 30824

Thirty Thousand Eight Hundred Twenty-Four

Basics

Value: 30823 → 30824 → 30825

Parity: even

Prime: No

Previous Prime: 30817

Next Prime: 30829

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 3853

Divisors: 1, 2, 4, 8, 3853, 7706, 15412, 30824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100001101000

Octal: 74150

Duodecimal: 15A08

Hexadecimal: 7868

Square: 950118976

Square Root: 175.56765077883796

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

G.f. satisfies: A(x) = theta₃(x·A(x)) where Jacobi theta₃(x) = 1 + 2*∑_n>=1 x^n². A166952

G.f. A(x,y) satisfies 1/x = ∑_n=-oo..+oo A(x,y)ⁿ * (A(x,y)ⁿ + y)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows. A379200

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors. A283130

Number of (strict) compositions of n whose differences of all degrees are nonzero. A325851

Number of partitions of n such that 2*(greatest part) > (number of parts). A237754

a(n)-th prime is sum of first k primes for some k. A20641

Number of n X n binary matrices with each 1 having at most 2 adjacent 1's. A68471

Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors. A283126

G.f. A(x) satisfies: (1 + x)/(1 - x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307659

Numbers m such that S = ∑_{i = 1..q} 1/d(i) is an integer where d(i) are the divisors of m in increasing order, and q the smallest integer 1 < q <= τ(m) for m > 1; and a(1) = 1. A225110