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Atlas › Integer Profiles › Node 3,316,698

3,316,698

2 × 32 × 7 × 11 × 2393
Abundant Even Composite

3,316,698 factors as 2 × 3^2 × 7 × 11 × 2393. Its 48 positive divisors give a proper-divisor sum of 5,646,438, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 2393
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,963,136
Proper Divisor Sum 5,646,438
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3316681 ← → #3316699

Radix Representation

Decimal 3316698
Binary 1100101001101111011010 (22 bits)
Octal 0o14515732
Hexadecimal 0x329BDA

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1,386 2,393 4,786 7,179 14,358 16,751 21,537 26,323 33,502 43,074 50,253 52,646 78,969 100,506 150,759 157,938 184,261 236,907 301,518 368,522 473,814 552,783 1,105,566 1,658,349 3,316,698

Collatz Trajectory (164 steps to reach 1)

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

3,316,698 1,658,349 4,975,048 2,487,524 1,243,762 621,881 1,865,644 932,822 466,411 1,399,234 699,617 2,098,852 1,049,426 524,713 1,574,140 787,070 393,535 1,180,606 590,303 1,770,910 885,455 2,656,366 1,328,183 3,984,550 1,992,275 5,976,826 2,988,413 8,965,240 4,482,620 2,241,310 1,120,655 3,361,966 1,680,983 5,042,950 2,521,475 7,564,426 3,782,213 11,346,640 5,673,320 2,836,660 1,418,330 709,165 2,127,496 1,063,748 531,874 265,937 797,812 398,906 199,453 598,360 299,180 149,590 74,795 224,386 112,193 336,580 168,290 84,145 252,436 126,218

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