Properties of the Number 12237

Twelve Thousand Two Hundred Thirty-Seven

Basics

Value: 12236 → 12237 → 12238

Parity: odd

Prime: No

Previous Prime: 12227

Next Prime: 12239

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 4079

Divisors: 1, 3, 4079, 12237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001101

Octal: 27715

Duodecimal: 70B9

Hexadecimal: 2fcd

Square: 149744169

Square Root: 110.62097450302994

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) = n³ + 3·n + 1. A5491

a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 1, a(1) = 1, a(2) = 0. A105578

a(n+3) = 3·a(n+2) + 5·a(n+1) + a(n), a(0) = 1, a(1) = 10, a(2) = 37. A110528

Expansion of (1-x)*(2·x²+2·x+1) / ((x²-x-1)*(x²+x+1)). A111734

Positions of the records of the negative integers in A179319; a(n) is the first position in A179319 equal to -n. A183556

a(n) = (n³ + 3·n - 2)/2. A132127

Positions of records in A179319 for both positive and negative integers; A183555 and A183556 merged together. A183557

Triangle of coefficients of polynomials u(n,x) jointly generated with A210752; see the Formula section. A210751

Conjecturally, the largest k such that prime(n)² is the largest squared prime divisor of binomial(2k,k). A239623

Numerators of continued fraction convergents to sqrt(777). A42498