9,753,735

3 × 5 × 79 × 8231

9,753,735 factors as 3 × 5 × 79 × 8231. Its 16 positive divisors give a proper-divisor sum of 6,051,705, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 8231

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,805,440

Proper Divisor Sum 6,051,705

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9753721 ← → #9753739

Radix Representation

Decimal	9753735
Binary	100101001101010010000111 (24 bits)
Octal	0o45152207
Hexadecimal	0x94D487

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 8,231 24,693 41,155 123,465 650,249 1,950,747 3,251,245 9,753,735

Collatz Trajectory (145 steps to reach 1)

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

9,753,735 29,261,206 14,630,603 43,891,810 21,945,905 65,837,716 32,918,858 16,459,429 49,378,288 24,689,144 12,344,572 6,172,286 3,086,143 9,258,430 4,629,215 13,887,646 6,943,823 20,831,470 10,415,735 31,247,206 15,623,603 46,870,810 23,435,405 70,306,216 35,153,108 17,576,554 8,788,277 26,364,832 13,182,416 6,591,208 3,295,604 1,647,802 823,901 2,471,704 1,235,852 617,926 308,963 926,890 463,445 1,390,336 695,168 347,584 173,792 86,896 43,448 21,724 10,862 5,431 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313

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