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Atlas › Integer Profiles › Node 6,015,640

6,015,640

23 × 5 × 59 × 2549
Abundant Even Composite

6,015,640 factors as 2^3 × 5 × 59 × 2549. Its 32 positive divisors give a proper-divisor sum of 7,754,360, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 59 × 2549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,770,000
Proper Divisor Sum 7,754,360
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6015629 ← → #6015641

Radix Representation

Decimal 6015640
Binary 10110111100101010011000 (23 bits)
Octal 0o26745230
Hexadecimal 0x5BCA98

Divisor Catalog (32)

1 2 4 5 8 10 20 40 59 118 236 295 472 590 1,180 2,360 2,549 5,098 10,196 12,745 20,392 25,490 50,980 101,960 150,391 300,782 601,564 751,955 1,203,128 1,503,910 3,007,820 6,015,640

Collatz Trajectory (183 steps to reach 1)

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

6,015,640 3,007,820 1,503,910 751,955 2,255,866 1,127,933 3,383,800 1,691,900 845,950 422,975 1,268,926 634,463 1,903,390 951,695 2,855,086 1,427,543 4,282,630 2,141,315 6,423,946 3,211,973 9,635,920 4,817,960 2,408,980 1,204,490 602,245 1,806,736 903,368 451,684 225,842 112,921 338,764 169,382 84,691 254,074 127,037 381,112 190,556 95,278 47,639 142,918 71,459 214,378 107,189 321,568 160,784 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060

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