Properties of the Number 2253

Two Thousand Two Hundred Fifty-Three

Basics

Value: 2252 → 2253 → 2254

Parity: odd

Prime: No

Previous Prime: 2251

Next Prime: 2267

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 751

Divisors: 1, 3, 751, 2253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011001101

Octal: 4315

Duodecimal: 1379

Hexadecimal: 8cd

Square: 5076009

Square Root: 47.46577714522327

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 nonempty subsets of {1..n} whose product is divisible by their sum. A326156

Numbers that are the sum of 6 positive 6th powers. A3362

a(n) = n² + 3·n - 1. A14209

A B₂ sequence: a(n) is the least value such that sequence increases and pairwise sums of elements are all distinct. A25582

E-toothpick sequence (see Comments lines for definition). A161328

a(n) = floor(n*φ¹²), where φ is the golden ratio, A001622. A4927

Step at which card n appears on top of deck for first time in Guy's shuffling problem A035485. A35490

Positive numbers whose product of digits is 5 times their sum. A62382

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

a(n) = T(n,n-3), array T as in A055818. A55820