9,735,207

3 × 73 × 44453

9,735,207 factors as 3 × 73 × 44453. Its 8 positive divisors give a proper-divisor sum of 3,423,177, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3 × 73 × 44453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,158,384

Proper Divisor Sum 3,423,177

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9735197 ← → #9735217

Radix Representation

Decimal	9735207
Binary	100101001000110000100111 (24 bits)
Octal	0o45106047
Hexadecimal	0x948C27

Divisor Catalog (8)

1 3 73 219 44,453 133,359 3,245,069 9,735,207

Collatz Trajectory (119 steps to reach 1)

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

9,735,207 29,205,622 14,602,811 43,808,434 21,904,217 65,712,652 32,856,326 16,428,163 49,284,490 24,642,245 73,926,736 36,963,368 18,481,684 9,240,842 4,620,421 13,861,264 6,930,632 3,465,316 1,732,658 866,329 2,598,988 1,299,494 649,747 1,949,242 974,621 2,923,864 1,461,932 730,966 365,483 1,096,450 548,225 1,644,676 822,338 411,169 1,233,508 616,754 308,377 925,132 462,566 231,283 693,850 346,925 1,040,776 520,388 260,194 130,097 390,292 195,146 97,573 292,720 146,360 73,180 36,590 18,295 54,886 27,443 82,330 41,165 123,496 61,748

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