Properties of the Number 4965

Four Thousand Nine Hundred Sixty-Five

Basics

Value: 4964 → 4965 → 4966

Parity: odd

Prime: No

Previous Prime: 4957

Next Prime: 4967

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 331

Divisors: 1, 3, 5, 15, 331, 993, 1655, 4965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001101100101

Octal: 11545

Duodecimal: 2A59

Hexadecimal: 1365

Square: 24651225

Square Root: 70.46275611981126

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

Numbers k such that k² divides 16^k-1. A128396

a(n) = n*(11·n+1)/2. A22269

T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal or antidiagonal neighbor. A220562

Numbers n such that n!8 + 2 is prime. A204663

Numbers k such that there are precisely 4 groups of orders k and k + 1. A295990

Partitions of n with parts having at most 3 distinct magnitudes. A309058

Number of set partitions of {1..n} with block-means summing to an integer. A361866

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p={p₁, p₂, p₃, p₄} = {-3,0,1,2}, n=3·r+p_i, and define a(-3)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,4,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(2·cos(π/9)). A187498

Total number of ON states after n generations of a cellular automaton on the square grid. A256250

Numbers that are the sum of ten fourth powers in exactly five ways. A345857