Properties of the Number 30624

Thirty Thousand Six Hundred Twenty-Four

Basics

Value: 30623 → 30624 → 30625

Parity: even

Prime: No

Previous Prime: 30593

Next Prime: 30631

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 11 × 29

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 111011110100000

Octal: 73640

Duodecimal: 15880

Hexadecimal: 77a0

Square: 937829376

Square Root: 174.99714283381886

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

Numbers n such that ∑_k=1..n d(k) is an integer where d(k) is the decimal fraction 0.k (e.g. d(999)=0.999). A54464

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median equal to the lower median in every 2X2 subblock. A235856

Total number of parts coprime to n in the partitions of n into 8 parts. A363326

Irreducible Euler sums of weight 8 and depth 10+2n. A31164

G.f. A(x) satisfies A(x)² = 1 + x + x·A(x)⁹. A295538

Nonnegative integers n such that n²*(n+1)*(2·n+1)²*(7·n+1)/36 is a square. A7750

a(n) = (1/(3·n)) * ∑_d∣n μ(n/d) * binomial(3·d,d). A346577

Irregular table read by rows: Take a diagonal-edged (or diamond-shaped) checkerboard with all diagonals drawn, as in A333434. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A333458

Expansion of g.f. A(x) satisfying 4 = ∑_n=-oo..+oo (-1)ⁿ * x^2·n * (4·A(x) + x^n-2)ⁿ⁺¹. A363109

Even bisection of A007750. A7751