1,388,385

3² × 5 × 30853

Starting at 1,388,385, the Collatz iteration reaches 1 after 160 steps. The first transition is 4165156; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 30853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,406,612

Proper Divisor Sum 1,018,227

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1388381 ← → #1388393

Radix Representation

Decimal	1388385
Binary	101010010111101100001 (21 bits)
Octal	0o5227541
Hexadecimal	0x152F61

Divisor Catalog (12)

1 3 5 9 15 45 30,853 92,559 154,265 277,677 462,795 1,388,385

Collatz Trajectory (160 steps to reach 1)

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

1,388,385 4,165,156 2,082,578 1,041,289 3,123,868 1,561,934 780,967 2,342,902 1,171,451 3,514,354 1,757,177 5,271,532 2,635,766 1,317,883 3,953,650 1,976,825 5,930,476 2,965,238 1,482,619 4,447,858 2,223,929 6,671,788 3,335,894 1,667,947 5,003,842 2,501,921 7,505,764 3,752,882 1,876,441 5,629,324 2,814,662 1,407,331 4,221,994 2,110,997 6,332,992 3,166,496 1,583,248 791,624 395,812 197,906 98,953 296,860 148,430 74,215 222,646 111,323 333,970 166,985 500,956 250,478 125,239 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014

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