37,017,982

2 × 37 × 251 × 1993

37,017,982 factors as 2 × 37 × 251 × 1993. Its 16 positive divisors give a proper-divisor sum of 20,265,650, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 37 × 251 × 1993

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 57,283,632

Proper Divisor Sum 20,265,650

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #37017977 ← → #37017991

Radix Representation

Decimal	37017982
Binary	10001101001101100101111110 (26 bits)
Octal	0o215154576
Hexadecimal	0x234D97E

Divisor Catalog (16)

1 2 37 74 251 502 1,993 3,986 9,287 18,574 73,741 147,482 500,243 1,000,486 18,508,991 37,017,982

Collatz Trajectory (240 steps to reach 1)

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

37,017,982 18,508,991 55,526,974 27,763,487 83,290,462 41,645,231 124,935,694 62,467,847 187,403,542 93,701,771 281,105,314 140,552,657 421,657,972 210,828,986 105,414,493 316,243,480 158,121,740 79,060,870 39,530,435 118,591,306 59,295,653 177,886,960 88,943,480 44,471,740 22,235,870 11,117,935 33,353,806 16,676,903 50,030,710 25,015,355 75,046,066 37,523,033 112,569,100 56,284,550 28,142,275 84,426,826 42,213,413 126,640,240 63,320,120 31,660,060 15,830,030 7,915,015 23,745,046 11,872,523 35,617,570 17,808,785 53,426,356 26,713,178 13,356,589 40,069,768 20,034,884 10,017,442 5,008,721 15,026,164 7,513,082 3,756,541 11,269,624 5,634,812 2,817,406 1,408,703

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