9,817,132

2² × 13 × 188791

9,817,132 factors as 2^2 × 13 × 188791. Its 12 positive divisors give a proper-divisor sum of 8,684,484, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 188791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,501,616

Proper Divisor Sum 8,684,484

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9817127 ← → #9817141

Radix Representation

Decimal	9817132
Binary	100101011100110000101100 (24 bits)
Octal	0o45346054
Hexadecimal	0x95CC2C

Divisor Catalog (12)

1 2 4 13 26 52 188,791 377,582 755,164 2,454,283 4,908,566 9,817,132

Collatz Trajectory (145 steps to reach 1)

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

9,817,132 4,908,566 2,454,283 7,362,850 3,681,425 11,044,276 5,522,138 2,761,069 8,283,208 4,141,604 2,070,802 1,035,401 3,106,204 1,553,102 776,551 2,329,654 1,164,827 3,494,482 1,747,241 5,241,724 2,620,862 1,310,431 3,931,294 1,965,647 5,896,942 2,948,471 8,845,414 4,422,707 13,268,122 6,634,061 19,902,184 9,951,092 4,975,546 2,487,773 7,463,320 3,731,660 1,865,830 932,915 2,798,746 1,399,373 4,198,120 2,099,060 1,049,530 524,765 1,574,296 787,148 393,574 196,787 590,362 295,181 885,544 442,772 221,386 110,693 332,080 166,040 83,020 41,510 20,755 62,266

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