Properties of the Number 5965

Five Thousand Nine Hundred Sixty-Five

Basics

Value: 5964 → 5965 → 5966

Parity: odd

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 1193

Divisors: 1, 5, 1193, 5965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011101001101

Octal: 13515

Duodecimal: 3551

Hexadecimal: 174d

Square: 35581225

Square Root: 77.23341245859851

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

Partial sums of A001157: ∑_j=1..n sigma₂(j). A64602

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2. A276299

a(n) = 3·a(n-2) - a(n-3) with a(0)=-1, a(1)=1, a(2)=-4. A214779

Sum of the fourth largest parts of the partitions of n into 9 squarefree parts. A326529

Numbers n such that the numbers of divisors of n,n+1 and n+2 are k,2k,4k respectively for some k. A100363

Composite squarefree numbers n such that p + τ(n) divides n - φ(n), where p are the prime factors of n, τ(n) = A000005(n) and φ(n) = A000010(n). A229324

Irregular table read by rows: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 2413. 0 <= k <= A342854(n). A342860

Numbers k such that k + σ(k) + σ(σ(k)) is a square. A116014

Numbers n such that 5ⁿ-6 is prime. A165701

G.f.: ∑_n>=0 xⁿ/(1-x)^3·n * ∑_k=0..n C(n,k)² * x^k. A249946