37,124,836

2² × 7 × 347 × 3821

37,124,836 factors as 2^2 × 7 × 347 × 3821. Its 24 positive divisors give a proper-divisor sum of 37,358,300, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 347 × 3821

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 74,483,136

Proper Divisor Sum 37,358,300

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37124833 ← → #37124851

Radix Representation

Decimal	37124836
Binary	10001101100111101011100100 (26 bits)
Octal	0o215475344
Hexadecimal	0x2367AE4

Divisor Catalog (24)

Collatz Trajectory (165 steps to reach 1)

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

37,124,836 18,562,418 9,281,209 27,843,628 13,921,814 6,960,907 20,882,722 10,441,361 31,324,084 15,662,042 7,831,021 23,493,064 11,746,532 5,873,266 2,936,633 8,809,900 4,404,950 2,202,475 6,607,426 3,303,713 9,911,140 4,955,570 2,477,785 7,433,356 3,716,678 1,858,339 5,575,018 2,787,509 8,362,528 4,181,264 2,090,632 1,045,316 522,658 261,329 783,988 391,994 195,997 587,992 293,996 146,998 73,499 220,498 110,249 330,748 165,374 82,687 248,062 124,031 372,094 186,047 558,142 279,071 837,214 418,607 1,255,822 627,911 1,883,734 941,867 2,825,602 1,412,801

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