λ
Sequence Observatory

1,108,485

34 × 5 × 7 × 17 × 23
Abundant Odd Composite

Starting at 1,108,485, the Collatz iteration reaches 1 after 209 steps. The first transition is 3325456; the starting value is odd with 80 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 17 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 2,509,056
Proper Divisor Sum 1,400,571
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1108477 ← → #1108487

Radix Representation

Decimal 1108485
Binary 100001110101000000101 (21 bits)
Octal 0o4165005
Hexadecimal 0x10EA05

Divisor Catalog (60 of 80)

1 3 5 7 9 15 17 21 23 27 35 45 51 63 69 81 85 105 115 119 135 153 161 189 207 255 315 345 357 391 405 459 483 567 595 621 765 805 945 1,035 1,071 1,173 1,377 1,449 1,785 1,863 1,955 2,295 2,415 2,737 2,835 3,105 3,213 3,519 4,347 5,355 5,865 6,885 7,245 8,211

Collatz Trajectory (209 steps to reach 1)

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

1,108,485 3,325,456 1,662,728 831,364 415,682 207,841 623,524 311,762 155,881 467,644 233,822 116,911 350,734 175,367 526,102 263,051 789,154 394,577 1,183,732 591,866 295,933 887,800 443,900 221,950 110,975 332,926 166,463 499,390 249,695 749,086 374,543 1,123,630 561,815 1,685,446 842,723 2,528,170 1,264,085 3,792,256 1,896,128 948,064 474,032 237,016 118,508 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031

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