3,349,845

3² × 5 × 74441

3,349,845 has digital root 9. The neighboring primes are 3349817 and 3349847; its proper-divisor sum differs from the starting integer by -893,214.

Prime Factor Structure

Factorization String 3^2 × 5 × 74441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,806,476

Proper Divisor Sum 2,456,631

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3349817 ← → #3349847

Radix Representation

Decimal	3349845
Binary	1100110001110101010101 (22 bits)
Octal	0o14616525
Hexadecimal	0x331D55

Divisor Catalog (12)

1 3 5 9 15 45 74,441 223,323 372,205 669,969 1,116,615 3,349,845

Collatz Trajectory (146 steps to reach 1)

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

3,349,845 10,049,536 5,024,768 2,512,384 1,256,192 628,096 314,048 157,024 78,512 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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