8,000,284

2² × 139 × 14389

8,000,284 factors as 2^2 × 139 × 14389. Its 12 positive divisors give a proper-divisor sum of 6,101,916, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 139 × 14389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,102,200

Proper Divisor Sum 6,101,916

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8000261 ← → #8000309

Radix Representation

Decimal	8000284
Binary	11110100001001100011100 (23 bits)
Octal	0o36411434
Hexadecimal	0x7A131C

Divisor Catalog (12)

1 2 4 139 278 556 14,389 28,778 57,556 2,000,071 4,000,142 8,000,284

Collatz Trajectory (155 steps to reach 1)

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

8,000,284 4,000,142 2,000,071 6,000,214 3,000,107 9,000,322 4,500,161 13,500,484 6,750,242 3,375,121 10,125,364 5,062,682 2,531,341 7,594,024 3,797,012 1,898,506 949,253 2,847,760 1,423,880 711,940 355,970 177,985 533,956 266,978 133,489 400,468 200,234 100,117 300,352 150,176 75,088 37,544 18,772 9,386 4,693 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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