1,997,864

2³ × 11 × 73 × 311

Starting at 1,997,864, the Collatz iteration reaches 1 after 153 steps. The first transition is 998932; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 73 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,155,840

Proper Divisor Sum 2,157,976

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #1997851 ← → #1997867

Radix Representation

Decimal	1997864
Binary	111100111110000101000 (21 bits)
Octal	0o7476050
Hexadecimal	0x1E7C28

Divisor Catalog (32)

1 2 4 8 11 22 44 73 88 146 292 311 584 622 803 1,244 1,606 2,488 3,212 3,421 6,424 6,842 13,684 22,703 27,368 45,406 90,812 181,624 249,733 499,466 998,932 1,997,864

Collatz Trajectory (153 steps to reach 1)

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

1,997,864 998,932 499,466 249,733 749,200 374,600 187,300 93,650 46,825 140,476 70,238 35,119 105,358 52,679 158,038 79,019 237,058 118,529 355,588 177,794 88,897 266,692 133,346 66,673 200,020 100,010 50,005 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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