1,930,080

2⁵ × 3 × 5 × 4021

Starting at 1,930,080, the Collatz iteration reaches 1 after 109 steps. The first transition is 965040; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 4021

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,081,264

Proper Divisor Sum 4,151,184

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1930079 ← → #1930081

Radix Representation

Decimal	1930080
Binary	111010111001101100000 (21 bits)
Octal	0o7271540
Hexadecimal	0x1D7360

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4,021 8,042 12,063 16,084 20,105 24,126 32,168 40,210 48,252 60,315 64,336 80,420 96,504 120,630 128,672 160,840 193,008 241,260 321,680 386,016 482,520 643,360 965,040 1,930,080

Collatz Trajectory (109 steps to reach 1)

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

1,930,080 965,040 482,520 241,260 120,630 60,315 180,946 90,473 271,420 135,710 67,855 203,566 101,783 305,350 152,675 458,026 229,013 687,040 343,520 171,760 85,880 42,940 21,470 10,735 32,206 16,103 48,310 24,155 72,466 36,233 108,700 54,350 27,175 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042

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