3,604,122

2 × 3³ × 31 × 2153

3,604,122 has the prime decomposition 2 × 3^3 × 31 × 2153. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 2153

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,271,360

Proper Divisor Sum 4,667,238

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3604121 ← → #3604127

Radix Representation

Decimal	3604122
Binary	1101101111111010011010 (22 bits)
Octal	0o15577232
Hexadecimal	0x36FE9A

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1,674 2,153 4,306 6,459 12,918 19,377 38,754 58,131 66,743 116,262 133,486 200,229 400,458 600,687 1,201,374 1,802,061 3,604,122

Collatz Trajectory (115 steps to reach 1)

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

3,604,122 1,802,061 5,406,184 2,703,092 1,351,546 675,773 2,027,320 1,013,660 506,830 253,415 760,246 380,123 1,140,370 570,185 1,710,556 855,278 427,639 1,282,918 641,459 1,924,378 962,189 2,886,568 1,443,284 721,642 360,821 1,082,464 541,232 270,616 135,308 67,654 33,827 101,482 50,741 152,224 76,112 38,056 19,028 9,514 4,757 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

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