3,733,888

2⁷ × 31 × 941

3,733,888 has the prime decomposition 2^7 × 31 × 941. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 31 × 941

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,686,720

Proper Divisor Sum 3,952,832

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3733883 ← → #3733913

Radix Representation

Decimal	3733888
Binary	1110001111100110000000 (22 bits)
Octal	0o16174600
Hexadecimal	0x38F980

Divisor Catalog (32)

1 2 4 8 16 31 32 62 64 124 128 248 496 941 992 1,882 1,984 3,764 3,968 7,528 15,056 29,171 30,112 58,342 60,224 116,684 120,448 233,368 466,736 933,472 1,866,944 3,733,888

Collatz Trajectory (110 steps to reach 1)

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

3,733,888 1,866,944 933,472 466,736 233,368 116,684 58,342 29,171 87,514 43,757 131,272 65,636 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659

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