4,444,020

2² × 3² × 5 × 7 × 3527

Starting at 4,444,020, the Collatz iteration reaches 1 after 180 steps. The first transition is 2222010; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 3527

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,410,304

Proper Divisor Sum 10,966,284

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4444001 ← → #4444049

Radix Representation

Decimal	4444020
Binary	10000111100111101110100 (23 bits)
Octal	0o20747564
Hexadecimal	0x43CF74

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1,260 3,527 7,054 10,581 14,108 17,635 21,162 24,689 31,743 35,270 42,324 49,378 52,905 63,486 70,540 74,067 98,756 105,810 123,445 126,972 148,134 158,715 211,620 222,201 246,890

Collatz Trajectory (180 steps to reach 1)

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

4,444,020 2,222,010 1,111,005 3,333,016 1,666,508 833,254 416,627 1,249,882 624,941 1,874,824 937,412 468,706 234,353 703,060 351,530 175,765 527,296 263,648 131,824 65,912 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192

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