Properties of the Number 58310

Fifty-Eight Thousand Three Hundred Ten

Basics

Value: 58309 → 58310 → 58311

Parity: even

Prime: No

Previous Prime: 58309

Next Prime: 58313

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 ³ × 17

Divisors: 1, 2, 5, 7, 10, 14, 17, 34, 35, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110001111000110

Octal: 161706

Duodecimal: 298B2

Hexadecimal: e3c6

Square: 3400056100

Square Root: 241.47463634924478

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

Number of permutations of [n] with four inversions. A5287

Number of Dyck paths of semilength n having exactly six (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1). A243775

Triangle read by rows: T(n,k) is the number of k-matchings in the C_n X P₃ graph (C_n is the cycle graph on n vertices and P₃ is the path graph on 3 vertices). A102089

Greatest number (in decimal representation) with n nonprime substrings in base-3 representation (substrings with leading zeros are considered to be nonprime). A217113

Number of reduced words of length n in the Weyl group A₃₃. A161646

a(n) = (1/2)*(n²+n+2)*(n²+3·n+1). A58310

G.f. satisfies: A(x) = 1 + x·A(x)/A(-x) + x²*A(x)²/A(-x)². A143560