1,709,609

11² × 71 × 199

Starting at 1,709,609, the Collatz iteration reaches 1 after 189 steps. The first transition is 5128828; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 71 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,915,200

Proper Divisor Sum 205,591

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1709599 ← → #1709611

Radix Representation

Decimal	1709609
Binary	110100001011000101001 (21 bits)
Octal	0o6413051
Hexadecimal	0x1A1629

Divisor Catalog (12)

1 11 71 121 199 781 2,189 8,591 14,129 24,079 155,419 1,709,609

Collatz Trajectory (189 steps to reach 1)

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

1,709,609 5,128,828 2,564,414 1,282,207 3,846,622 1,923,311 5,769,934 2,884,967 8,654,902 4,327,451 12,982,354 6,491,177 19,473,532 9,736,766 4,868,383 14,605,150 7,302,575 21,907,726 10,953,863 32,861,590 16,430,795 49,292,386 24,646,193 73,938,580 36,969,290 18,484,645 55,453,936 27,726,968 13,863,484 6,931,742 3,465,871 10,397,614 5,198,807 15,596,422 7,798,211 23,394,634 11,697,317 35,091,952 17,545,976 8,772,988 4,386,494 2,193,247 6,579,742 3,289,871 9,869,614 4,934,807 14,804,422 7,402,211 22,206,634 11,103,317 33,309,952 16,654,976 8,327,488 4,163,744 2,081,872 1,040,936 520,468 260,234 130,117 390,352

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