9,732,735

3² × 5 × 313 × 691

9,732,735 has the prime decomposition 3^2 × 5 × 313 × 691. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 313 × 691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,948,464

Proper Divisor Sum 7,215,729

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9732727 ← → #9732757

Radix Representation

Decimal	9732735
Binary	100101001000001001111111 (24 bits)
Octal	0o45101177
Hexadecimal	0x94827F

Divisor Catalog (24)

1 3 5 9 15 45 313 691 939 1,565 2,073 2,817 3,455 4,695 6,219 10,365 14,085 31,095 216,283 648,849 1,081,415 1,946,547 3,244,245 9,732,735

Collatz Trajectory (207 steps to reach 1)

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

9,732,735 29,198,206 14,599,103 43,797,310 21,898,655 65,695,966 32,847,983 98,543,950 49,271,975 147,815,926 73,907,963 221,723,890 110,861,945 332,585,836 166,292,918 83,146,459 249,439,378 124,719,689 374,159,068 187,079,534 93,539,767 280,619,302 140,309,651 420,928,954 210,464,477 631,393,432 315,696,716 157,848,358 78,924,179 236,772,538 118,386,269 355,158,808 177,579,404 88,789,702 44,394,851 133,184,554 66,592,277 199,776,832 99,888,416 49,944,208 24,972,104 12,486,052 6,243,026 3,121,513 9,364,540 4,682,270 2,341,135 7,023,406 3,511,703 10,535,110 5,267,555 15,802,666 7,901,333 23,704,000 11,852,000 5,926,000 2,963,000 1,481,500 740,750 370,375

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