Properties of the Number 3273

Three Thousand Two Hundred Seventy-Three

Basics

Value: 3272 → 3273 → 3274

Parity: odd

Prime: No

Previous Prime: 3271

Next Prime: 3299

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 1091

Divisors: 1, 3, 1091, 3273

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011001001

Octal: 6311

Duodecimal: 1A89

Hexadecimal: cc9

Square: 10712529

Square Root: 57.21013896155121

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 strict integer partitions of n with integer median. A359907

Number of non-condensed integer partitions of n, or partitions where it is not possible to choose a different divisor of each part. A370320

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. A264534

Total sum T(n,k) of parts <= n of multiplicity k in all partitions of n; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A222730

Leading column of triangle in A176463. A176503

Natural numbers k such that k is a multiple of its number of "feasible" partitions. A254438

Values of k for which A075059(k) = A003418(k) + 1 is prime. A49537

Numbers n such that A242719(n) = (prime(n))²+1 and A242720(n) - A242719(n) = 2*(prime(n)+1). A246748

Number of compositions of n with some part appearing more than twice. A335455

Expansion of g.f. (1-z)²*(1-sqrt(1-4·z))/(2·z*(1 - 3·z + 2·z² - z³)). A136304