37,641,368

2³ × 1787 × 2633

37,641,368 factors as 2^3 × 1787 × 2633. Its 16 positive divisors give a proper-divisor sum of 33,002,512, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 1787 × 2633

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 70,643,880

Proper Divisor Sum 33,002,512

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #37641353 ← → #37641371

Radix Representation

Decimal	37641368
Binary	10001111100101110010011000 (26 bits)
Octal	0o217456230
Hexadecimal	0x23E5C98

Divisor Catalog (16)

1 2 4 8 1,787 2,633 3,574 5,266 7,148 10,532 14,296 21,064 4,705,171 9,410,342 18,820,684 37,641,368

Collatz Trajectory (196 steps to reach 1)

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

37,641,368 18,820,684 9,410,342 4,705,171 14,115,514 7,057,757 21,173,272 10,586,636 5,293,318 2,646,659 7,939,978 3,969,989 11,909,968 5,954,984 2,977,492 1,488,746 744,373 2,233,120 1,116,560 558,280 279,140 139,570 69,785 209,356 104,678 52,339 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640

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