λ
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Atlas › Integer Profiles › Node 38,591,800

38,591,800

23 × 52 × 13 × 14843
Abundant Even Composite

38,591,800 factors as 2^3 × 5^2 × 13 × 14843. Its 48 positive divisors give a proper-divisor sum of 58,042,640, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 14843
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,634,440
Proper Divisor Sum 58,042,640
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #38591771 ← → #38591803

Radix Representation

Decimal 38591800
Binary 10010011001101110100111000 (26 bits)
Octal 0o223156470
Hexadecimal 0x24CDD38

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1,300 2,600 14,843 29,686 59,372 74,215 118,744 148,430 192,959 296,860 371,075 385,918 593,720 742,150 771,836 964,795 1,484,300 1,543,672 1,929,590 2,968,600 3,859,180 4,823,975 7,718,360 9,647,950 19,295,900 38,591,800

Collatz Trajectory (178 steps to reach 1)

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

38,591,800 19,295,900 9,647,950 4,823,975 14,471,926 7,235,963 21,707,890 10,853,945 32,561,836 16,280,918 8,140,459 24,421,378 12,210,689 36,632,068 18,316,034 9,158,017 27,474,052 13,737,026 6,868,513 20,605,540 10,302,770 5,151,385 15,454,156 7,727,078 3,863,539 11,590,618 5,795,309 17,385,928 8,692,964 4,346,482 2,173,241 6,519,724 3,259,862 1,629,931 4,889,794 2,444,897 7,334,692 3,667,346 1,833,673 5,501,020 2,750,510 1,375,255 4,125,766 2,062,883 6,188,650 3,094,325 9,282,976 4,641,488 2,320,744 1,160,372 580,186 290,093 870,280 435,140 217,570 108,785 326,356 163,178 81,589 244,768

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