442,035

3² × 5 × 11 × 19 × 47

Starting at 442,035, the Collatz iteration reaches 1 after 63 steps. The first transition is 1326106; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 898,560

Proper Divisor Sum 456,525

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #442033 ← → #442061

Radix Representation

Decimal	442035
Binary	1101011111010110011 (19 bits)
Octal	0o1537263
Hexadecimal	0x6BEB3

Divisor Catalog (48)

1 3 5 9 11 15 19 33 45 47 55 57 95 99 141 165 171 209 235 285 423 495 517 627 705 855 893 1,045 1,551 1,881 2,115 2,585 2,679 3,135 4,465 4,653 7,755 8,037 9,405 9,823 13,395 23,265 29,469 40,185 49,115 88,407 147,345 442,035

Collatz Trajectory (63 steps to reach 1)

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

442,035 1,326,106 663,053 1,989,160 994,580 497,290 248,645 745,936 372,968 186,484 93,242 46,621 139,864 69,932 34,966 17,483 52,450 26,225 78,676 39,338 19,669 59,008 29,504 14,752 7,376 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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