37,955,180

2² × 5 × 71 × 26729

37,955,180 factors as 2^2 × 5 × 71 × 26729. Its 24 positive divisors give a proper-divisor sum of 42,876,340, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 26729

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 80,831,520

Proper Divisor Sum 42,876,340

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #37955173 ← → #37955189

Radix Representation

Decimal	37955180
Binary	10010000110010011001101100 (26 bits)
Octal	0o220623154
Hexadecimal	0x243266C

Divisor Catalog (24)

Collatz Trajectory (108 steps to reach 1)

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

37,955,180 18,977,590 9,488,795 28,466,386 14,233,193 42,699,580 21,349,790 10,674,895 32,024,686 16,012,343 48,037,030 24,018,515 72,055,546 36,027,773 108,083,320 54,041,660 27,020,830 13,510,415 40,531,246 20,265,623 60,796,870 30,398,435 91,195,306 45,597,653 136,792,960 68,396,480 34,198,240 17,099,120 8,549,560 4,274,780 2,137,390 1,068,695 3,206,086 1,603,043 4,809,130 2,404,565 7,213,696 3,606,848 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126

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