9,106,827

3 × 23 × 59 × 2237

9,106,827 factors as 3 × 23 × 59 × 2237. Its 16 positive divisors give a proper-divisor sum of 3,784,053, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3 × 23 × 59 × 2237

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,890,880

Proper Divisor Sum 3,784,053

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9106819 ← → #9106859

Radix Representation

Decimal	9106827
Binary	100010101111010110001011 (24 bits)
Octal	0o42572613
Hexadecimal	0x8AF58B

Divisor Catalog (16)

1 3 23 59 69 177 1,357 2,237 4,071 6,711 51,451 131,983 154,353 395,949 3,035,609 9,106,827

Collatz Trajectory (80 steps to reach 1)

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

9,106,827 27,320,482 13,660,241 40,980,724 20,490,362 10,245,181 30,735,544 15,367,772 7,683,886 3,841,943 11,525,830 5,762,915 17,288,746 8,644,373 25,933,120 12,966,560 6,483,280 3,241,640 1,620,820 810,410 405,205 1,215,616 607,808 303,904 151,952 75,976 37,988 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632

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