882,838

2 × 11 × 40129

Starting at 882,838, the Collatz iteration reaches 1 after 157 steps. The first transition is 441419; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 40129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,444,680

Proper Divisor Sum 561,842

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #882823 ← → #882851

Radix Representation

Decimal	882838
Binary	11010111100010010110 (20 bits)
Octal	0o3274226
Hexadecimal	0xD7896

Divisor Catalog (8)

1 2 11 22 40,129 80,258 441,419 882,838

Collatz Trajectory (157 steps to reach 1)

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

882,838 441,419 1,324,258 662,129 1,986,388 993,194 496,597 1,489,792 744,896 372,448 186,224 93,112 46,556 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161

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