443,047

11 × 40277

Starting at 443,047, the Collatz iteration reaches 1 after 231 steps. The first transition is 1329142; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 40277

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 483,336

Proper Divisor Sum 40,289

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #443041 ← → #443057

Radix Representation

Decimal	443047
Binary	1101100001010100111 (19 bits)
Octal	0o1541247
Hexadecimal	0x6C2A7

Divisor Catalog (4)

1 11 40,277 443,047

Collatz Trajectory (231 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

443,047 1,329,142 664,571 1,993,714 996,857 2,990,572 1,495,286 747,643 2,242,930 1,121,465 3,364,396 1,682,198 841,099 2,523,298 1,261,649 3,784,948 1,892,474 946,237 2,838,712 1,419,356 709,678 354,839 1,064,518 532,259 1,596,778 798,389 2,395,168 1,197,584 598,792 299,396 149,698 74,849 224,548 112,274 56,137 168,412 84,206 42,103 126,310 63,155 189,466 94,733 284,200 142,100 71,050 35,525 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812

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