3,631,329

3² × 13 × 41 × 757

Starting at 3,631,329, the Collatz iteration reaches 1 after 128 steps. The first transition is 10893988; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 41 × 757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,794,152

Proper Divisor Sum 2,162,823

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3631321 ← → #3631339

Radix Representation

Decimal	3631329
Binary	1101110110100011100001 (22 bits)
Octal	0o15664341
Hexadecimal	0x3768E1

Divisor Catalog (24)

1 3 9 13 39 41 117 123 369 533 757 1,599 2,271 4,797 6,813 9,841 29,523 31,037 88,569 93,111 279,333 403,481 1,210,443 3,631,329

Collatz Trajectory (128 steps to reach 1)

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

3,631,329 10,893,988 5,446,994 2,723,497 8,170,492 4,085,246 2,042,623 6,127,870 3,063,935 9,191,806 4,595,903 13,787,710 6,893,855 20,681,566 10,340,783 31,022,350 15,511,175 46,533,526 23,266,763 69,800,290 34,900,145 104,700,436 52,350,218 26,175,109 78,525,328 39,262,664 19,631,332 9,815,666 4,907,833 14,723,500 7,361,750 3,680,875 11,042,626 5,521,313 16,563,940 8,281,970 4,140,985 12,422,956 6,211,478 3,105,739 9,317,218 4,658,609 13,975,828 6,987,914 3,493,957 10,481,872 5,240,936 2,620,468 1,310,234 655,117 1,965,352 982,676 491,338 245,669 737,008 368,504 184,252 92,126 46,063 138,190

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