8,643,368

2³ × 233 × 4637

8,643,368 factors as 2^3 × 233 × 4637. Its 16 positive divisors give a proper-divisor sum of 7,636,012, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 233 × 4637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,279,380

Proper Divisor Sum 7,636,012

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8643367 ← → #8643409

Radix Representation

Decimal	8643368
Binary	100000111110001100101000 (24 bits)
Octal	0o40761450
Hexadecimal	0x83E328

Divisor Catalog (16)

1 2 4 8 233 466 932 1,864 4,637 9,274 18,548 37,096 1,080,421 2,160,842 4,321,684 8,643,368

Collatz Trajectory (106 steps to reach 1)

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

8,643,368 4,321,684 2,160,842 1,080,421 3,241,264 1,620,632 810,316 405,158 202,579 607,738 303,869 911,608 455,804 227,902 113,951 341,854 170,927 512,782 256,391 769,174 384,587 1,153,762 576,881 1,730,644 865,322 432,661 1,297,984 648,992 324,496 162,248 81,124 40,562 20,281 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254

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