Properties of the Number 2249

Two Thousand Two Hundred Forty-Nine

Basics

Value: 2248 → 2249 → 2250

Parity: odd

Prime: No

Previous Prime: 2243

Next Prime: 2251

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13 × 173

Divisors: 1, 13, 173, 2249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011001001

Octal: 4311

Duodecimal: 1375

Hexadecimal: 8c9

Square: 5058001

Square Root: 47.4236228055175

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) = minimal positive k such that the concatenation of the decimal digits of n,n+1,...,n+k is divisible by n+k+1, or -1 if no such k exists. A332580

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 5x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 1 - x - x². A367210

Number of compositions [p(1), p(2), ..., p(k)] of n such that p(j) <= 2·p(j-1) and p(j-1) <= 2·p(j). A224957

Where 5ⁿ occurs in n-almost-primes, starting at a(0)=1. A78844

Numbers whose smallest prime factor is 13. A84970

T(n,k)=Number of third differences of arrays of length n+3 of numbers in 0..k. A228260

Numbers k such that k¹⁴ == 1 (mod 15²). A56026

Positive integers (not multiples of 10) whose constant congruence speed is greater than the sum of the constant congruence speeds of all their prime factors counted with multiplicity. A389979

Number of distinct autocorrelations of binary words of length n. A5434

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222679