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Atlas › Integer Profiles › Node 3,211,284

3,211,284

22 × 3 × 41 × 61 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 61 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,874,496
Proper Divisor Sum 4,663,212
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3211279 ← → #3211289

Radix Representation

Decimal 3211284
Binary 1100010000000000010100 (22 bits)
Octal 0o14200024
Hexadecimal 0x310014

Divisor Catalog (48)

1 2 3 4 6 12 41 61 82 107 122 123 164 183 214 244 246 321 366 428 492 642 732 1,284 2,501 4,387 5,002 6,527 7,503 8,774 10,004 13,054 13,161 15,006 17,548 19,581 26,108 26,322 30,012 39,162 52,644 78,324 267,607 535,214 802,821 1,070,428 1,605,642 3,211,284

Collatz Trajectory (71 steps to reach 1)

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

3,211,284 1,605,642 802,821 2,408,464 1,204,232 602,116 301,058 150,529 451,588 225,794 112,897 338,692 169,346 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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