3,343,628

2² × 17 × 49171

3,343,628 factors as 2^2 × 17 × 49171. Its 12 positive divisors give a proper-divisor sum of 2,852,044, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 49171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,195,672

Proper Divisor Sum 2,852,044

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3343607 ← → #3343631

Radix Representation

Decimal	3343628
Binary	1100110000010100001100 (22 bits)
Octal	0o14602414
Hexadecimal	0x33050C

Divisor Catalog (12)

1 2 4 17 34 68 49,171 98,342 196,684 835,907 1,671,814 3,343,628

Collatz Trajectory (190 steps to reach 1)

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

3,343,628 1,671,814 835,907 2,507,722 1,253,861 3,761,584 1,880,792 940,396 470,198 235,099 705,298 352,649 1,057,948 528,974 264,487 793,462 396,731 1,190,194 595,097 1,785,292 892,646 446,323 1,338,970 669,485 2,008,456 1,004,228 502,114 251,057 753,172 376,586 188,293 564,880 282,440 141,220 70,610 35,305 105,916 52,958 26,479 79,438 39,719 119,158 59,579 178,738 89,369 268,108 134,054 67,027 201,082 100,541 301,624 150,812 75,406 37,703 113,110 56,555 169,666 84,833 254,500 127,250

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