9,728,265

3 × 5 × 31 × 20921

9,728,265 factors as 3 × 5 × 31 × 20921. Its 16 positive divisors give a proper-divisor sum of 6,339,831, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 20921

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,068,096

Proper Divisor Sum 6,339,831

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9728263 ← → #9728269

Radix Representation

Decimal	9728265
Binary	100101000111000100001001 (24 bits)
Octal	0o45070411
Hexadecimal	0x947109

Divisor Catalog (16)

1 3 5 15 31 93 155 465 20,921 62,763 104,605 313,815 648,551 1,945,653 3,242,755 9,728,265

Collatz Trajectory (194 steps to reach 1)

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

9,728,265 29,184,796 14,592,398 7,296,199 21,888,598 10,944,299 32,832,898 16,416,449 49,249,348 24,624,674 12,312,337 36,937,012 18,468,506 9,234,253 27,702,760 13,851,380 6,925,690 3,462,845 10,388,536 5,194,268 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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