Properties of the Number 5989

Five Thousand Nine Hundred Eighty-Nine

Basics

Value: 5988 → 5989 → 5990

Parity: odd

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 53 × 113

Divisors: 1, 53, 113, 5989

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101100101

Octal: 13545

Duodecimal: 3571

Hexadecimal: 1765

Square: 35868121

Square Root: 77.38862965578342

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

Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square. A88319

Number of strict integer partitions of n with at least two but not all parts having a common divisor greater than 1. A303140

Triangular array read by rows: T(n,k) is the number of rooted identity trees with n nodes having exactly k subtrees from the root. A227774

Expansion of ∏_k>=1 (1 + x^k)^φ(k), where φ() is the Euler totient function (A000010). A299069

Numerators of triangle T(n,k), n>=1, 0<=k<=n - 1, read by rows: T(n,k) is the coefficient of x^k in polynomial p_n for the n-th row sequence of A145153. A145140

Main diagonal of array in A083140. A83141

Number of partitions of n with rank a multiple of 3. A328988

Positive integers c in primitive (1/4)-Pythagorean triples (a,b,c) satisfying a<=b, in order of increasing a and then increasing b. A196264

Positive numbers k such that the centered cube number k³ + (k+1)³ is equal to the difference of two positive cubes and to A352759(n). A355751

Array read by antidiagonals: T(d,k) (k >= 1, d = 1,2,3,4,5,6,...) = smallest semiprime s of k (not necessarily consecutive) semiprimes in arithmetic progression with common difference d, or 0 if there is no such arithmetic progression. A124570