2,884,428

2² × 3² × 19 × 4217

Starting at 2,884,428, the Collatz iteration reaches 1 after 169 steps. The first transition is 1442214; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 4217

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,676,760

Proper Divisor Sum 4,792,332

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2884411 ← → #2884433

Radix Representation

Decimal	2884428
Binary	1011000000001101001100 (22 bits)
Octal	0o13001514
Hexadecimal	0x2C034C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 4,217 8,434 12,651 16,868 25,302 37,953 50,604 75,906 80,123 151,812 160,246 240,369 320,492 480,738 721,107 961,476 1,442,214 2,884,428

Collatz Trajectory (169 steps to reach 1)

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

2,884,428 1,442,214 721,107 2,163,322 1,081,661 3,244,984 1,622,492 811,246 405,623 1,216,870 608,435 1,825,306 912,653 2,737,960 1,368,980 684,490 342,245 1,026,736 513,368 256,684 128,342 64,171 192,514 96,257 288,772 144,386 72,193 216,580 108,290 54,145 162,436 81,218 40,609 121,828 60,914 30,457 91,372 45,686 22,843 68,530 34,265 102,796 51,398 25,699 77,098 38,549 115,648 57,824 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304

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