2,204,424

2³ × 3² × 17 × 1801

Starting at 2,204,424, the Collatz iteration reaches 1 after 179 steps. The first transition is 1102212; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,325,020

Proper Divisor Sum 4,120,596

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2204393 ← → #2204431

Radix Representation

Decimal	2204424
Binary	1000011010001100001000 (22 bits)
Octal	0o10321410
Hexadecimal	0x21A308

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 1,801 3,602 5,403 7,204 10,806 14,408 16,209 21,612 30,617 32,418 43,224 61,234 64,836 91,851 122,468 129,672 183,702 244,936 275,553 367,404 551,106 734,808 1,102,212 2,204,424

Collatz Trajectory (179 steps to reach 1)

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

2,204,424 1,102,212 551,106 275,553 826,660 413,330 206,665 619,996 309,998 154,999 464,998 232,499 697,498 348,749 1,046,248 523,124 261,562 130,781 392,344 196,172 98,086 49,043 147,130 73,565 220,696 110,348 55,174 27,587 82,762 41,381 124,144 62,072 31,036 15,518 7,759 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389

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