3,349,724

2² × 7 × 119633

For 3,349,724, the 12 positive divisors have a total of 6,699,504. Removing 3,349,724 leaves 3,349,780, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 119633

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,699,504

Proper Divisor Sum 3,349,780

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3349699 ← → #3349727

Radix Representation

Decimal	3349724
Binary	1100110001110011011100 (22 bits)
Octal	0o14616334
Hexadecimal	0x331CDC

Divisor Catalog (12)

1 2 4 7 14 28 119,633 239,266 478,532 837,431 1,674,862 3,349,724

Collatz Trajectory (177 steps to reach 1)

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

3,349,724 1,674,862 837,431 2,512,294 1,256,147 3,768,442 1,884,221 5,652,664 2,826,332 1,413,166 706,583 2,119,750 1,059,875 3,179,626 1,589,813 4,769,440 2,384,720 1,192,360 596,180 298,090 149,045 447,136 223,568 111,784 55,892 27,946 13,973 41,920 20,960 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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