8,999,738

2 × 11² × 37189

8,999,738 factors as 2 × 11^2 × 37189. Its 12 positive divisors give a proper-divisor sum of 5,839,072, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 37189

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,838,810

Proper Divisor Sum 5,839,072

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #8999737 ← → #8999741

Radix Representation

Decimal	8999738
Binary	100010010101001100111010 (24 bits)
Octal	0o42251472
Hexadecimal	0x89533A

Divisor Catalog (12)

1 2 11 22 121 242 37,189 74,378 409,079 818,158 4,499,869 8,999,738

Collatz Trajectory (163 steps to reach 1)

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

8,999,738 4,499,869 13,499,608 6,749,804 3,374,902 1,687,451 5,062,354 2,531,177 7,593,532 3,796,766 1,898,383 5,695,150 2,847,575 8,542,726 4,271,363 12,814,090 6,407,045 19,221,136 9,610,568 4,805,284 2,402,642 1,201,321 3,603,964 1,801,982 900,991 2,702,974 1,351,487 4,054,462 2,027,231 6,081,694 3,040,847 9,122,542 4,561,271 13,683,814 6,841,907 20,525,722 10,262,861 30,788,584 15,394,292 7,697,146 3,848,573 11,545,720 5,772,860 2,886,430 1,443,215 4,329,646 2,164,823 6,494,470 3,247,235 9,741,706 4,870,853 14,612,560 7,306,280 3,653,140 1,826,570 913,285 2,739,856 1,369,928 684,964 342,482

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