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Atlas › Integer Profiles › Node 3,000,284

3,000,284

22 × 7 × 83 × 1291
Abundant Even Composite

3,000,284 factors as 2^2 × 7 × 83 × 1291. Its 24 positive divisors give a proper-divisor sum of 3,077,284, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 83 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,077,568
Proper Divisor Sum 3,077,284
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3000251 ← → #3000289

Radix Representation

Decimal 3000284
Binary 1011011100011111011100 (22 bits)
Octal 0o13343734
Hexadecimal 0x2DC7DC

Divisor Catalog (24)

1 2 4 7 14 28 83 166 332 581 1,162 1,291 2,324 2,582 5,164 9,037 18,074 36,148 107,153 214,306 428,612 750,071 1,500,142 3,000,284

Collatz Trajectory (138 steps to reach 1)

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

3,000,284 1,500,142 750,071 2,250,214 1,125,107 3,375,322 1,687,661 5,062,984 2,531,492 1,265,746 632,873 1,898,620 949,310 474,655 1,423,966 711,983 2,135,950 1,067,975 3,203,926 1,601,963 4,805,890 2,402,945 7,208,836 3,604,418 1,802,209 5,406,628 2,703,314 1,351,657 4,054,972 2,027,486 1,013,743 3,041,230 1,520,615 4,561,846 2,280,923 6,842,770 3,421,385 10,264,156 5,132,078 2,566,039 7,698,118 3,849,059 11,547,178 5,773,589 17,320,768 8,660,384 4,330,192 2,165,096 1,082,548 541,274 270,637 811,912 405,956 202,978 101,489 304,468 152,234 76,117 228,352 114,176

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