Properties of the Number 5979

Five Thousand Nine Hundred Seventy-Nine

Basics

Value: 5978 → 5979 → 5980

Parity: odd

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 1993

Divisors: 1, 3, 1993, 5979

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101011011

Octal: 13533

Duodecimal: 3563

Hexadecimal: 175b

Square: 35748441

Square Root: 77.32399368889322

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 bipartite partitions of (i,j) with i+j = n into distinct pairs. A219555

a(1) = 9; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74345

Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A359603

Cascadence of (1+x)³; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0. A120919

Vertex number of a rectangular spiral related to prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the prime numbers, while the distances between nearest edges perpendicular to the initial edge are all one. A160792

a(n) = count of monomials, degree k=0 to n, in the power sum symmetric polynomials m(μ,k) summed over all partitions μ of n. A209665

G.f.: ∑_k>=0 x^k * ∏_j=1..6·k (1 + x^j)/(1 - x^j). A385092

Partial sums of the sequence (A001097) of twin primes. A48598

Numbers n such that n^k+(n+1)^k is prime for k = 1, 2, 4. A128780

Numbers k that divide 3^(k-1/2) - 2^(k-1/2) - 1. A130061