886,872

2³ × 3 × 7 × 5279

Starting at 886,872, the Collatz iteration reaches 1 after 157 steps. The first transition is 443436; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 5279

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,534,400

Proper Divisor Sum 1,647,528

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #886867 ← → #886891

Radix Representation

Decimal	886872
Binary	11011000100001011000 (20 bits)
Octal	0o3304130
Hexadecimal	0xD8858

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 5,279 10,558 15,837 21,116 31,674 36,953 42,232 63,348 73,906 110,859 126,696 147,812 221,718 295,624 443,436 886,872

Collatz Trajectory (157 steps to reach 1)

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

886,872 443,436 221,718 110,859 332,578 166,289 498,868 249,434 124,717 374,152 187,076 93,538 46,769 140,308 70,154 35,077 105,232 52,616 26,308 13,154 6,577 19,732 9,866 4,933 14,800 7,400 3,700 1,850 925 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161

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