Properties of the Number 58167

Fifty-Eight Thousand One Hundred Sixty-Seven

Basics

Value: 58166 → 58167 → 58168

Parity: odd

Prime: No

Previous Prime: 58153

Next Prime: 58169

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 281

Divisors: 1, 3, 9, 23, 69, 207, 281, 843, 2529, 6463

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110001100110111

Octal: 161467

Duodecimal: 297B3

Hexadecimal: e337

Square: 3383399889

Square Root: 241.1783572379578

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

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222679

Number of chiral pairs of asymmetric dissectable polyhedra with n tetrahedral cells (type A). A47776

Numbers k such that k² contains only digits {3,8,9}. A58467

Number of nX6 0..3 arrays with no more than floor(nX6/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222677

G.f. A(x) satisfies x / Series_Reversion(x·A(x)) = (2·A(x) + 1+x)/3. A326604

Number of 4Xn 0..3 arrays with no more than floor(4Xn/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222682

Composite numbers that when written in base 2 are a concatenation of their distinct prime factors without multiplicity in some order. A352334

Triangle read by rows: T(n,k) is the number of labeled commutative semigroups of order n with k idempotents. A58167

a(n) is the smallest integer m such that sumdigits(m²) = 4ⁿ. A280798