9,780,925

5² × 7 × 11 × 5081

9,780,925 factors as 5^2 × 7 × 11 × 5081. Its 24 positive divisors give a proper-divisor sum of 5,343,107, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 11 × 5081

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,124,032

Proper Divisor Sum 5,343,107

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9780893 ← → #9780931

Radix Representation

Decimal	9780925
Binary	100101010011111010111101 (24 bits)
Octal	0o45237275
Hexadecimal	0x953EBD

Divisor Catalog (24)

1 5 7 11 25 35 55 77 175 275 385 1,925 5,081 25,405 35,567 55,891 127,025 177,835 279,455 391,237 889,175 1,397,275 1,956,185 9,780,925

Collatz Trajectory (269 steps to reach 1)

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

9,780,925 29,342,776 14,671,388 7,335,694 3,667,847 11,003,542 5,501,771 16,505,314 8,252,657 24,757,972 12,378,986 6,189,493 18,568,480 9,284,240 4,642,120 2,321,060 1,160,530 580,265 1,740,796 870,398 435,199 1,305,598 652,799 1,958,398 979,199 2,937,598 1,468,799 4,406,398 2,203,199 6,609,598 3,304,799 9,914,398 4,957,199 14,871,598 7,435,799 22,307,398 11,153,699 33,461,098 16,730,549 50,191,648 25,095,824 12,547,912 6,273,956 3,136,978 1,568,489 4,705,468 2,352,734 1,176,367 3,529,102 1,764,551 5,293,654 2,646,827 7,940,482 3,970,241 11,910,724 5,955,362 2,977,681 8,933,044 4,466,522 2,233,261

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