λ
Harmonic Matrix

3,949,266

2 × 3 × 658211
Abundant Even Composite

3,949,266 has digital root 3. The neighboring primes are 3949247 and 3949271; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 658211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,898,544
Proper Divisor Sum 3,949,278
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3949247 ← → #3949271

Radix Representation

Decimal 3949266
Binary 1111000100001011010010 (22 bits)
Octal 0o17041322
Hexadecimal 0x3C42D2

Divisor Catalog (8)

1 2 3 6 658,211 1,316,422 1,974,633 3,949,266

Collatz Trajectory (172 steps to reach 1)

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

3,949,266 1,974,633 5,923,900 2,961,950 1,480,975 4,442,926 2,221,463 6,664,390 3,332,195 9,996,586 4,998,293 14,994,880 7,497,440 3,748,720 1,874,360 937,180 468,590 234,295 702,886 351,443 1,054,330 527,165 1,581,496 790,748 395,374 197,687 593,062 296,531 889,594 444,797 1,334,392 667,196 333,598 166,799 500,398 250,199 750,598 375,299 1,125,898 562,949 1,688,848 844,424 422,212 211,106 105,553 316,660 158,330 79,165 237,496 118,748 59,374 29,687 89,062 44,531 133,594 66,797 200,392 100,196 50,098 25,049

More profiles

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