Properties of the Number 5967

Five Thousand Nine Hundred Sixty-Seven

Basics

Value: 5966 → 5967 → 5968

Parity: odd

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 13 × 17

Divisors: 1, 3, 9, 13, 17, 27, 39, 51, 117, 153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101001111

Octal: 13517

Duodecimal: 3553

Hexadecimal: 174f

Square: 35605089

Square Root: 77.2463591375024

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

10-gonal (or decagonal) numbers: a(n) = n*(4·n-3). A1107

Sum of smallest parts of all partitions of n. A46746

Take solution to Pellian equation x² - n·y² = 1 with smallest positive y and x >= 0; sequence gives a(n) = y, or 0 if n is a square. A002350 gives values of x. A2349

Smallest positive integer y satisfying the Pell equation x² - D·y² = 1 for nonsquare D. A33317

Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black. A32279

a(n) = A341529(n) - A341528(n) = (σ(n)*A003961(n)) - (n*σ(A003961(n))). A341512

Composites whose prime factorization in base 4 is an anagram of the number in base 4. A260048

Beginning with 3, least number such that concatenation of first n terms and its digit reversal both are primes. A111382

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..1 introduced in row major order. A204754

G.f. satisfies A(x) = 1 + x·A(x)² / (1 - x·A(x))³. A365150