9,962,675

5² × 53 × 73 × 103

9,962,675 factors as 5^2 × 53 × 73 × 103. Its 24 positive divisors give a proper-divisor sum of 2,920,429, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 5^2 × 53 × 73 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,883,104

Proper Divisor Sum 2,920,429

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9962653 ← → #9962683

Radix Representation

Decimal	9962675
Binary	100110000000010010110011 (24 bits)
Octal	0o46002263
Hexadecimal	0x9804B3

Divisor Catalog (24)

Collatz Trajectory (101 steps to reach 1)

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

9,962,675 29,888,026 14,944,013 44,832,040 22,416,020 11,208,010 5,604,005 16,812,016 8,406,008 4,203,004 2,101,502 1,050,751 3,152,254 1,576,127 4,728,382 2,364,191 7,092,574 3,546,287 10,638,862 5,319,431 15,958,294 7,979,147 23,937,442 11,968,721 35,906,164 17,953,082 8,976,541 26,929,624 13,464,812 6,732,406 3,366,203 10,098,610 5,049,305 15,147,916 7,573,958 3,786,979 11,360,938 5,680,469 17,041,408 8,520,704 4,260,352 2,130,176 1,065,088 532,544 266,272 133,136 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534

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