Properties of the Number 12274

Twelve Thousand Two Hundred Seventy-Four

Basics

Value: 12273 → 12274 → 12275

Parity: even

Prime: No

Previous Prime: 12269

Next Prime: 12277

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 17 × 19 ²

Divisors: 1, 2, 17, 19, 34, 38, 323, 361, 646, 722

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111110010

Octal: 27762

Duodecimal: 712A

Hexadecimal: 2ff2

Square: 150651076

Square Root: 110.78808600206071

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 integer partitions of n having a part that can be written as a nonnegative linear combination of the other (possibly equal) parts. A364913

a(n) = 3·2ⁿ - n - 2. A79583

Positive numbers whose product of digits is 7 times their sum. A62384

Partial sums of A365414. A365444

a(n) is the area of the rectangle whose edges are n and A375673(n). A375675

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^-6. A114358

Numbers n such that the sum of prime factors of n (counted with repetition) equals three times the largest prime divisor. A212861

Expansion of ∏_k>=0 1/(1-x^4·k+1)². A261629

Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)). A166285

Smallest m such that C(2m,m) is divisible by (m+n)!/m!. A65352