9,728,258

2 × 251 × 19379

9,728,258 factors as 2 × 251 × 19379. Its 8 positive divisors give a proper-divisor sum of 4,923,022, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 251 × 19379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,651,280

Proper Divisor Sum 4,923,022

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9728249 ← → #9728261

Radix Representation

Decimal	9728258
Binary	100101000111000100000010 (24 bits)
Octal	0o45070402
Hexadecimal	0x947102

Divisor Catalog (8)

1 2 251 502 19,379 38,758 4,864,129 9,728,258

Collatz Trajectory (194 steps to reach 1)

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

9,728,258 4,864,129 14,592,388 7,296,194 3,648,097 10,944,292 5,472,146 2,736,073 8,208,220 4,104,110 2,052,055 6,156,166 3,078,083 9,234,250 4,617,125 13,851,376 6,925,688 3,462,844 1,731,422 865,711 2,597,134 1,298,567 3,895,702 1,947,851 5,843,554 2,921,777 8,765,332 4,382,666 2,191,333 6,574,000 3,287,000 1,643,500 821,750 410,875 1,232,626 616,313 1,848,940 924,470 462,235 1,386,706 693,353 2,080,060 1,040,030 520,015 1,560,046 780,023 2,340,070 1,170,035 3,510,106 1,755,053 5,265,160 2,632,580 1,316,290 658,145 1,974,436 987,218 493,609 1,480,828 740,414 370,207

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