9,852,284

2² × 13 × 189467

9,852,284 factors as 2^2 × 13 × 189467. Its 12 positive divisors give a proper-divisor sum of 8,715,580, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 189467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,567,864

Proper Divisor Sum 8,715,580

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9852277 ← → #9852313

Radix Representation

Decimal	9852284
Binary	100101100101010101111100 (24 bits)
Octal	0o45452574
Hexadecimal	0x96557C

Divisor Catalog (12)

1 2 4 13 26 52 189,467 378,934 757,868 2,463,071 4,926,142 9,852,284

Collatz Trajectory (238 steps to reach 1)

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

9,852,284 4,926,142 2,463,071 7,389,214 3,694,607 11,083,822 5,541,911 16,625,734 8,312,867 24,938,602 12,469,301 37,407,904 18,703,952 9,351,976 4,675,988 2,337,994 1,168,997 3,506,992 1,753,496 876,748 438,374 219,187 657,562 328,781 986,344 493,172 246,586 123,293 369,880 184,940 92,470 46,235 138,706 69,353 208,060 104,030 52,015 156,046 78,023 234,070 117,035 351,106 175,553 526,660 263,330 131,665 394,996 197,498 98,749 296,248 148,124 74,062 37,031 111,094 55,547 166,642 83,321 249,964 124,982 62,491

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