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Atlas › Integer Profiles › Node 3,302,016

3,302,016

27 × 3 × 8599
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 8599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,772,000
Proper Divisor Sum 5,469,984
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3302011 ← → #3302069

Radix Representation

Decimal 3302016
Binary 1100100110001010000000 (22 bits)
Octal 0o14461200
Hexadecimal 0x326280

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 8,599 17,198 25,797 34,396 51,594 68,792 103,188 137,584 206,376 275,168 412,752 550,336 825,504 1,100,672 1,651,008 3,302,016

Collatz Trajectory (71 steps to reach 1)

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

3,302,016 1,651,008 825,504 412,752 206,376 103,188 51,594 25,797 77,392 38,696 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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