Properties of the Number 5972

Five Thousand Nine Hundred Seventy-Two

Basics

Value: 5971 → 5972 → 5973

Parity: even

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 1493

Divisors: 1, 2, 4, 1493, 2986, 5972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101010100

Octal: 13524

Duodecimal: 3558

Hexadecimal: 1754

Square: 35664784

Square Root: 77.27871634544663

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

a(n) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Expansion of ∏_m>=1 (1+q^m)^m². A27998

Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities). A45940

Iccanobif numbers: add reversal of a(n-1) to a(n-2). A14259

Number of self-conjugate separable solutions of X + Y = 2Z (integer, disjoint triples from {1,2,3,...,3n}). A282615

Triangle read by rows: T(n,k) is the number of oriented series-parallel networks with n colored elements using exactly k colors. A339228

G.f.: exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n², k²) * x^k ). A206850

T(n,k)=Number of nXk 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors. A231700

Number of symmetric Latin squares of order 2n with constant diagonal. A3191

Even numbers not divisible by 3 which are not of the form p + 3^x with p prime. A282430