9,930,075

3 × 5² × 31 × 4271

9,930,075 factors as 3 × 5^2 × 31 × 4271. Its 24 positive divisors give a proper-divisor sum of 7,021,221, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 4271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,951,296

Proper Divisor Sum 7,021,221

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9930073 ← → #9930083

Radix Representation

Decimal	9930075
Binary	100101111000010101011011 (24 bits)
Octal	0o45702533
Hexadecimal	0x97855B

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

9,930,075 29,790,226 14,895,113 44,685,340 22,342,670 11,171,335 33,514,006 16,757,003 50,271,010 25,135,505 75,406,516 37,703,258 18,851,629 56,554,888 28,277,444 14,138,722 7,069,361 21,208,084 10,604,042 5,302,021 15,906,064 7,953,032 3,976,516 1,988,258 994,129 2,982,388 1,491,194 745,597 2,236,792 1,118,396 559,198 279,599 838,798 419,399 1,258,198 629,099 1,887,298 943,649 2,830,948 1,415,474 707,737 2,123,212 1,061,606 530,803 1,592,410 796,205 2,388,616 1,194,308 597,154 298,577 895,732 447,866 223,933 671,800 335,900 167,950 83,975 251,926 125,963 377,890

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