λ
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Atlas › Integer Profiles › Node 36,939,838

36,939,838

2 × 13 × 19 × 37 × 43 × 47
Deficient Even Composite

36,939,838 factors as 2 × 13 × 19 × 37 × 43 × 47. Its 64 positive divisors give a proper-divisor sum of 30,475,202, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 37 × 43 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 67,415,040
Proper Divisor Sum 30,475,202
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #36939797 ← → #36939839

Radix Representation

Decimal 36939838
Binary 10001100111010100000111110 (26 bits)
Octal 0o214724076
Hexadecimal 0x233A83E

Divisor Catalog (60 of 64)

1 2 13 19 26 37 38 43 47 74 86 94 247 481 494 559 611 703 817 893 962 1,118 1,222 1,406 1,591 1,634 1,739 1,786 2,021 3,182 3,478 4,042 9,139 10,621 11,609 18,278 20,683 21,242 22,607 23,218 26,273 30,229 33,041 38,399 41,366 45,214 52,546 60,458 66,082 74,777 76,798 149,554 392,977 429,533 499,187 785,954 859,066 972,101 998,374 1,420,763

Collatz Trajectory (183 steps to reach 1)

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

36,939,838 18,469,919 55,409,758 27,704,879 83,114,638 41,557,319 124,671,958 62,335,979 187,007,938 93,503,969 280,511,908 140,255,954 70,127,977 210,383,932 105,191,966 52,595,983 157,787,950 78,893,975 236,681,926 118,340,963 355,022,890 177,511,445 532,534,336 266,267,168 133,133,584 66,566,792 33,283,396 16,641,698 8,320,849 24,962,548 12,481,274 6,240,637 18,721,912 9,360,956 4,680,478 2,340,239 7,020,718 3,510,359 10,531,078 5,265,539 15,796,618 7,898,309 23,694,928 11,847,464 5,923,732 2,961,866 1,480,933 4,442,800 2,221,400 1,110,700 555,350 277,675 833,026 416,513 1,249,540 624,770 312,385 937,156 468,578 234,289

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