449,442

2 × 3³ × 7 × 29 × 41

Starting at 449,442, the Collatz iteration reaches 1 after 50 steps. The first transition is 224721; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 29 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,209,600

Proper Divisor Sum 760,158

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #449441 ← → #449459

Radix Representation

Decimal	449442
Binary	1101101101110100010 (19 bits)
Octal	0o1555642
Hexadecimal	0x6DBA2

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 29 41 42 54 58 63 82 87 123 126 174 189 203 246 261 287 369 378 406 522 574 609 738 783 861 1,107 1,189 1,218 1,566 1,722 1,827 2,214 2,378 2,583 3,567 3,654 5,166 5,481 7,134 7,749 8,323 10,701 10,962 15,498 16,646 21,402 24,969 32,103 49,938 64,206

Collatz Trajectory (50 steps to reach 1)

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

449,442 224,721 674,164 337,082 168,541 505,624 252,812 126,406 63,203 189,610 94,805 284,416 142,208 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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