1,048,440

2³ × 3 × 5 × 8737

Starting at 1,048,440, the Collatz iteration reaches 1 after 196 steps. The first transition is 524220; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 8737

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,145,680

Proper Divisor Sum 2,097,240

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1048433 ← → #1048447

Radix Representation

Decimal	1048440
Binary	11111111111101111000 (20 bits)
Octal	0o3777570
Hexadecimal	0xFFF78

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8,737 17,474 26,211 34,948 43,685 52,422 69,896 87,370 104,844 131,055 174,740 209,688 262,110 349,480 524,220 1,048,440

Collatz Trajectory (196 steps to reach 1)

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

1,048,440 524,220 262,110 131,055 393,166 196,583 589,750 294,875 884,626 442,313 1,326,940 663,470 331,735 995,206 497,603 1,492,810 746,405 2,239,216 1,119,608 559,804 279,902 139,951 419,854 209,927 629,782 314,891 944,674 472,337 1,417,012 708,506 354,253 1,062,760 531,380 265,690 132,845 398,536 199,268 99,634 49,817 149,452 74,726 37,363 112,090 56,045 168,136 84,068 42,034 21,017 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904

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