Properties of the Number 5946

Five Thousand Nine Hundred Forty-Six

Basics

Value: 5945 → 5946 → 5947

Parity: even

Prime: No

Previous Prime: 5939

Next Prime: 5953

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 991

Divisors: 1, 2, 3, 6, 991, 1982, 2973, 5946

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100111010

Octal: 13472

Duodecimal: 3536

Hexadecimal: 173a

Square: 35354916

Square Root: 77.110310594628

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 rucksack partitions of n: every consecutive constant subsequence has a different sum. A353864

Coefficients for expansion of (g(x)d/dx)ⁿ g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^-1 1/g(x); iterated derivatives as infinitesimal generators of flows. A145271

Number of partitions of 2·n with no part divisible by 3 and all odd parts occurring with even multiplicities. A98151

Positions of 1's in A274640: Greedy Queens on a spiral. Equivalently, positions of 0's in A274641. A273059

Numbers which are the sum of their proper divisors containing the digit 9. A59468

Number of partitions p of n such that (number of numbers in p that have multiplicity 1) > (number of numbers in p having multiplicity > 1). A329976

Sets of 4 consecutive numbers with equal number of divisors. A39665

Expansion of φ(q³) / φ(q) in powers of q where φ() is a Ramanujan θ function. A132002

Numbers n such that A182134(n) = 3, i.e., there exist only three primes p with prime(n) < p < prime(n)^{1 + 1/n}. A246781

Partition triangle read by rows. A statistic of permutations given by their Lehmer code refining Euler's triangle A173018. A355777