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Ratio Atlas
Atlas › Integer Profiles › Node 6,000,760

6,000,760

23 × 5 × 41 × 3659
Abundant Even Composite

6,000,760 factors as 2^3 × 5 × 41 × 3659. Its 32 positive divisors give a proper-divisor sum of 7,834,040, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 3659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,834,800
Proper Divisor Sum 7,834,040
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #6000733 ← → #6000773

Radix Representation

Decimal 6000760
Binary 10110111001000001111000 (23 bits)
Octal 0o26710170
Hexadecimal 0x5B9078

Divisor Catalog (32)

1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1,640 3,659 7,318 14,636 18,295 29,272 36,590 73,180 146,360 150,019 300,038 600,076 750,095 1,200,152 1,500,190 3,000,380 6,000,760

Collatz Trajectory (139 steps to reach 1)

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

6,000,760 3,000,380 1,500,190 750,095 2,250,286 1,125,143 3,375,430 1,687,715 5,063,146 2,531,573 7,594,720 3,797,360 1,898,680 949,340 474,670 237,335 712,006 356,003 1,068,010 534,005 1,602,016 801,008 400,504 200,252 100,126 50,063 150,190 75,095 225,286 112,643 337,930 168,965 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069

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