37,257,820

2² × 5 × 1862891

37,257,820 factors as 2^2 × 5 × 1862891. Its 12 positive divisors give a proper-divisor sum of 40,983,644, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 1862891

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 78,241,464

Proper Divisor Sum 40,983,644

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37257809 ← → #37257833

Radix Representation

Decimal	37257820
Binary	10001110001000001001011100 (26 bits)
Octal	0o216101134
Hexadecimal	0x238825C

Divisor Catalog (12)

1 2 4 5 10 20 1,862,891 3,725,782 7,451,564 9,314,455 18,628,910 37,257,820

Collatz Trajectory (134 steps to reach 1)

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

37,257,820 18,628,910 9,314,455 27,943,366 13,971,683 41,915,050 20,957,525 62,872,576 31,436,288 15,718,144 7,859,072 3,929,536 1,964,768 982,384 491,192 245,596 122,798 61,399 184,198 92,099 276,298 138,149 414,448 207,224 103,612 51,806 25,903 77,710 38,855 116,566 58,283 174,850 87,425 262,276 131,138 65,569 196,708 98,354 49,177 147,532 73,766 36,883 110,650 55,325 165,976 82,988 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565

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