2,689,604

2² × 17 × 37 × 1069

Starting at 2,689,604, the Collatz iteration reaches 1 after 138 steps. The first transition is 1344802; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 37 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,123,160

Proper Divisor Sum 2,433,556

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2689601 ← → #2689613

Radix Representation

Decimal	2689604
Binary	1010010000101001000100 (22 bits)
Octal	0o12205104
Hexadecimal	0x290A44

Divisor Catalog (24)

1 2 4 17 34 37 68 74 148 629 1,069 1,258 2,138 2,516 4,276 18,173 36,346 39,553 72,692 79,106 158,212 672,401 1,344,802 2,689,604

Collatz Trajectory (138 steps to reach 1)

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

2,689,604 1,344,802 672,401 2,017,204 1,008,602 504,301 1,512,904 756,452 378,226 189,113 567,340 283,670 141,835 425,506 212,753 638,260 319,130 159,565 478,696 239,348 119,674 59,837 179,512 89,756 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364

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