Properties of the Number 58301

Fifty-Eight Thousand Three Hundred One

Basics

Value: 58300 → 58301 → 58302

Parity: odd

Prime: No

Previous Prime: 58271

Next Prime: 58309

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 173 × 337

Divisors: 1, 173, 337, 58301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001110111101

Octal: 161675

Duodecimal: 298A5

Hexadecimal: e3bd

Square: 3399006601

Square Root: 241.4560001325293

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

Numerator of 1/n + 2/(n-1) + 3/(n-2) + ... + (n-1)/2 + n. A27612

Fibonacci sequence beginning 1, 8. A22098

Numerator - denominator in n-th harmonic number, 1 + 1/2 + 1/3 + ... + 1/n. A64169

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2. A275228

a(n) = (H(n) - 1)*lcm{1,...,n}, where H(n) is the n-th harmonic number. A27457

a(n) = 3·a(n-1) - a(n-2) with a(0)=1, a(1)=9. A55849

Number of partitions of n such that each part is no more than 3 more than the sum of all smaller parts. A286929

Numerator of the Harary number for the path graph P_n. A160048

Erroneous version of A027612. A81525

Number of 1X5 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 1 zero-sum 5-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192692