Properties of the Number 58821

Fifty-Eight Thousand Eight Hundred Twenty-One

Basics

Value: 58820 → 58821 → 58822

Parity: odd

Prime: No

Previous Prime: 58789

Next Prime: 58831

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 2801

Divisors: 1, 3, 7, 21, 2801, 8403, 19607, 58821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1110010111000101

Octal: 162705

Duodecimal: 2A059

Hexadecimal: e5c5

Square: 3459910041

Square Root: 242.53041046433745

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

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,7). The p-th row (p>=1) contains a(i,p) for i=1 to 7·p-6, where a(i,p) satisfies ∑_i=1..n C(i+6,7)^p = 8·C(n+7,8) * ∑_i=1..7·p-6 a(i,p) * C(n-1,i-1)/(i+7). A87111

a(n) = ((n-th prime)⁶-(n-th prime))/2. A138440

Cubes written in base 9. A4639

Triangle read by rows: T(n,k) = (n+1,k)-th element of (M⁷-M)/6, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n. A96041

Numbers k with property that 19·k + {2,4,8,10} are two pairs of consecutive twin primes. A152926

Numbers of the form k*(k⁵ +- 1)/2. A361263

Irregular triangle read by rows. Row n gives the coefficients of the polynomial multiplying the exponential function in the e.g.f. of the (n+1)-th diagonal sequences of triangle A008459 (Pascal squares). T(n,k) for n >= 0 and k = 0..2·n. A290310

G.f. A(x) satisfies [x^2·n] A(x)^3·n = -3 and [x^2·n+1] A(x)^3·n+1 = [x^2·n+1] A(x)^3·n+2 for n >= 1. A376225

Dimensions of homogeneous subspaces of shuffle algebra over 6-letter alphabet (see A058766 for 2-letter case). A58821