Properties of the Number 61824

Sixty-One Thousand Eight Hundred Twenty-Four

Basics

Value: 61823 → 61824 → 61825

Parity: even

Prime: No

Previous Prime: 61819

Next Prime: 61837

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 7 × 23

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000110000000

Octal: 170600

Duodecimal: 2B940

Hexadecimal: f180

Square: 3822206976

Square Root: 248.64432428672086

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

a(n) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

Numbers with prime factorization pqrs⁷. A190473

a(n) = n * ∑_d∣n binomial(d+3,4)/d. A343545

Triangle read by rows: T(n,k) is the number of forests of labeled rooted hypertrees with n vertices and weight k, 0 <= k < n. A364709

G.f.: ∑_k>=0 x^k*(k+1/2) / ∏_j=1..k (1 - x^2·j-1)². A376624

E.g.f. A(x) satisfies A(x) = 1 + x·cos(x·A(x)). A381176

Triangle T(n, k) = coefficients of p(n, x), where p(n, x) = (-1)ⁿ*(1+x)*((n+1)² +x)^n-1, p(0, x) = 1, and p(1, x) = -1-x, read by rows. A158286

a(n) = ∑_k=0..3 f(n+k)² where f=A130519. A238604

Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)). A304410

Lower (2/3)-midsequence of A000032 (Lucas numbers) and A000045 (Fibonacci numbers); see Comments. A389121