λ
Sequence Observatory

1,737,534

2 × 3 × 289589
Abundant Even Composite

Starting at 1,737,534, the Collatz iteration reaches 1 after 233 steps. The first transition is 868767; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 289589
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,475,080
Proper Divisor Sum 1,737,546
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1737529 ← → #1737551

Radix Representation

Decimal 1737534
Binary 110101000001100111110 (21 bits)
Octal 0o6501476
Hexadecimal 0x1A833E

Divisor Catalog (8)

1 2 3 6 289,589 579,178 868,767 1,737,534

Collatz Trajectory (233 steps to reach 1)

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

1,737,534 868,767 2,606,302 1,303,151 3,909,454 1,954,727 5,864,182 2,932,091 8,796,274 4,398,137 13,194,412 6,597,206 3,298,603 9,895,810 4,947,905 14,843,716 7,421,858 3,710,929 11,132,788 5,566,394 2,783,197 8,349,592 4,174,796 2,087,398 1,043,699 3,131,098 1,565,549 4,696,648 2,348,324 1,174,162 587,081 1,761,244 880,622 440,311 1,320,934 660,467 1,981,402 990,701 2,972,104 1,486,052 743,026 371,513 1,114,540 557,270 278,635 835,906 417,953 1,253,860 626,930 313,465 940,396 470,198 235,099 705,298 352,649 1,057,948 528,974 264,487 793,462 396,731

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