8,000,321

7 × 641 × 1783

8,000,321 factors as 7 × 641 × 1783. Its 8 positive divisors give a proper-divisor sum of 1,162,303, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 7 × 641 × 1783

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,162,624

Proper Divisor Sum 1,162,303

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #8000309 ← → #8000323

Radix Representation

Decimal	8000321
Binary	11110100001001101000001 (23 bits)
Octal	0o36411501
Hexadecimal	0x7A1341

Divisor Catalog (8)

1 7 641 1,783 4,487 12,481 1,142,903 8,000,321

Collatz Trajectory (155 steps to reach 1)

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

8,000,321 24,000,964 12,000,482 6,000,241 18,000,724 9,000,362 4,500,181 13,500,544 6,750,272 3,375,136 1,687,568 843,784 421,892 210,946 105,473 316,420 158,210 79,105 237,316 118,658 59,329 177,988 88,994 44,497 133,492 66,746 33,373 100,120 50,060 25,030 12,515 37,546 18,773 56,320 28,160 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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