λ
Ratio Atlas

6,012,234

2 × 32 × 211 × 1583
Abundant Even Composite

6,012,234 factors as 2 × 3^2 × 211 × 1583. Its 24 positive divisors give a proper-divisor sum of 7,084,278, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 211 × 1583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,096,512
Proper Divisor Sum 7,084,278
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6012229 ← → #6012239

Radix Representation

Decimal 6012234
Binary 10110111011110101001010 (23 bits)
Octal 0o26736512
Hexadecimal 0x5BBD4A

Divisor Catalog (24)

1 2 3 6 9 18 211 422 633 1,266 1,583 1,899 3,166 3,798 4,749 9,498 14,247 28,494 334,013 668,026 1,002,039 2,004,078 3,006,117 6,012,234

Collatz Trajectory (165 steps to reach 1)

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

6,012,234 3,006,117 9,018,352 4,509,176 2,254,588 1,127,294 563,647 1,690,942 845,471 2,536,414 1,268,207 3,804,622 1,902,311 5,706,934 2,853,467 8,560,402 4,280,201 12,840,604 6,420,302 3,210,151 9,630,454 4,815,227 14,445,682 7,222,841 21,668,524 10,834,262 5,417,131 16,251,394 8,125,697 24,377,092 12,188,546 6,094,273 18,282,820 9,141,410 4,570,705 13,712,116 6,856,058 3,428,029 10,284,088 5,142,044 2,571,022 1,285,511 3,856,534 1,928,267 5,784,802 2,892,401 8,677,204 4,338,602 2,169,301 6,507,904 3,253,952 1,626,976 813,488 406,744 203,372 101,686 50,843 152,530 76,265 228,796

More profiles

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