Properties of the Number 12253

Twelve Thousand Two Hundred Fifty-Three

Basics

Value: 12252 → 12253 → 12254

Parity: odd

Prime: Yes

Previous Prime: 12251

Next Prime: 12263

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 12253

Divisors: 1, 12253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111011101

Octal: 27735

Duodecimal: 7111

Hexadecimal: 2fdd

Square: 150136009

Square Root: 110.69326989478628

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

Sums of p-th to the q-th prime where p and q are consecutive primes. A114381

Primes with exactly two 2's. A178551

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) <= number of distinct parts of p. A241824

Bessel function Y₀(n) is a monotonically decreasing positive sequence. A46961

Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10. A119596

Primes congruent to 6 mod 37. A142115

Primes p such that p-5, p-3, p+3, and p+5 are divisible by cubes. A166000

Smallest of three consecutive primes in arithmetic progression with common difference 24 and digit sum prime. A253140

a(n) = number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 2, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-1), where T is the array in A026120; a(n) = U(n,n+1), where U is the array in A026148. A26123

Upper twin primes of upper twin prime index. A88463