3,633,741

3⁴ × 113 × 397

3,633,741 factors as 3^4 × 113 × 397. Its 20 positive divisors give a proper-divisor sum of 1,856,271, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3^4 × 113 × 397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,490,012

Proper Divisor Sum 1,856,271

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3633719 ← → #3633743

Radix Representation

Decimal	3633741
Binary	1101110111001001001101 (22 bits)
Octal	0o15671115
Hexadecimal	0x37724D

Divisor Catalog (20)

Collatz Trajectory (203 steps to reach 1)

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

3,633,741 10,901,224 5,450,612 2,725,306 1,362,653 4,087,960 2,043,980 1,021,990 510,995 1,532,986 766,493 2,299,480 1,149,740 574,870 287,435 862,306 431,153 1,293,460 646,730 323,365 970,096 485,048 242,524 121,262 60,631 181,894 90,947 272,842 136,421 409,264 204,632 102,316 51,158 25,579 76,738 38,369 115,108 57,554 28,777 86,332 43,166 21,583 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842

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