Properties of the Number 12349

Twelve Thousand Three Hundred Forty-Nine

Basics

Value: 12348 → 12349 → 12350

Parity: odd

Prime: No

Previous Prime: 12347

Next Prime: 12373

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 53 × 233

Divisors: 1, 53, 233, 12349

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000111101

Octal: 30075

Duodecimal: 7191

Hexadecimal: 303d

Square: 152497801

Square Root: 111.12605455067681

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

Dowling numbers: e.g.f.: exp(x + (exp(b·x) - 1)/b) with b=3. A3575

Odd composite integers m such that A014448(m) == 4 (mod m). A335670

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. A306053

Numbers b > 1 such that the smallest four primes, i.e., 2, 3, 5 and 7 are base-b Wieferich primes. A339533

Ulam's spiral (ESE spoke). A143855

Odd composite integers m such that U(m)² == 1 (mod m) and V(m) == 4 (mod m), where U(m) and V(m) are the m-th generalized Lucas and Pell-Lucas numbers of parameters a=4 and b=-1, respectively. A337627

E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)²) ). A361091

Number of partitions into non-integral powers. A327

Triangle, read by rows, where T(n,k) equals the least m>0 that produces the maximum number of partial quotients in the simple continued fraction expansion of (1/n + 1/k + 1/m). A91943

Triangle A(r,c) read by rows, which contains the row sums of the triangle T(n,k)= T(n-1,k-1)+((c-1)*k+1)*T(n-1,k) in column c. A111579