3,644,442

2 × 3² × 23 × 8803

3,644,442 has the prime decomposition 2 × 3^2 × 23 × 8803. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 8803

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,240,544

Proper Divisor Sum 4,596,102

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3644437 ← → #3644479

Radix Representation

Decimal	3644442
Binary	1101111001110000011010 (22 bits)
Octal	0o15716032
Hexadecimal	0x379C1A

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 8,803 17,606 26,409 52,818 79,227 158,454 202,469 404,938 607,407 1,214,814 1,822,221 3,644,442

Collatz Trajectory (58 steps to reach 1)

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

3,644,442 1,822,221 5,466,664 2,733,332 1,366,666 683,333 2,050,000 1,025,000 512,500 256,250 128,125 384,376 192,188 96,094 48,047 144,142 72,071 216,214 108,107 324,322 162,161 486,484 243,242 121,621 364,864 182,432 91,216 45,608 22,804 11,402 5,701 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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