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Atlas › Integer Profiles › Node 3,211,280

3,211,280

24 × 5 × 137 × 293
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 137 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,546,392
Proper Divisor Sum 4,335,112
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3211279 ← → #3211289

Radix Representation

Decimal 3211280
Binary 1100010000000000010000 (22 bits)
Octal 0o14200020
Hexadecimal 0x310010

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 137 274 293 548 586 685 1,096 1,172 1,370 1,465 2,192 2,344 2,740 2,930 4,688 5,480 5,860 10,960 11,720 23,440 40,141 80,282 160,564 200,705 321,128 401,410 642,256 802,820 1,605,640 3,211,280

Collatz Trajectory (71 steps to reach 1)

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

3,211,280 1,605,640 802,820 401,410 200,705 602,116 301,058 150,529 451,588 225,794 112,897 338,692 169,346 84,673 254,020 127,010 63,505 190,516 95,258 47,629 142,888 71,444 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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