443,188

2² × 101 × 1097

Starting at 443,188, the Collatz iteration reaches 1 after 94 steps. The first transition is 221594; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 101 × 1097

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 783,972

Proper Divisor Sum 340,784

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #443171 ← → #443189

Radix Representation

Decimal	443188
Binary	1101100001100110100 (19 bits)
Octal	0o1541464
Hexadecimal	0x6C334

Divisor Catalog (12)

1 2 4 101 202 404 1,097 2,194 4,388 110,797 221,594 443,188

Collatz Trajectory (94 steps to reach 1)

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

443,188 221,594 110,797 332,392 166,196 83,098 41,549 124,648 62,324 31,162 15,581 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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