1,000,160

2⁵ × 5 × 7 × 19 × 47

Starting at 1,000,160, the Collatz iteration reaches 1 after 139 steps. The first transition is 500080; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,903,040

Proper Divisor Sum 1,902,880

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #1000159 ← → #1000171

Radix Representation

Decimal	1000160
Binary	11110100001011100000 (20 bits)
Octal	0o3641340
Hexadecimal	0xF42E0

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 47 56 70 76 80 94 95 112 133 140 152 160 188 190 224 235 266 280 304 329 376 380 470 532 560 608 658 665 752 760 893 940 1,064 1,120 1,316 1,330 1,504 1,520 1,645 1,786 1,880 2,128 2,632 2,660

Collatz Trajectory (139 steps to reach 1)

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

1,000,160 500,080 250,040 125,020 62,510 31,255 93,766 46,883 140,650 70,325 210,976 105,488 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358

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