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Atlas › Integer Profiles › Node 3,939,840

3,939,840

29 × 34 × 5 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 3^4 × 5 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 200
Divisor Sum (σ) 14,853,960
Proper Divisor Sum 10,914,120
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3939839 ← → #3939841

Radix Representation

Decimal 3939840
Binary 1111000001111000000000 (22 bits)
Octal 0o17017000
Hexadecimal 0x3C1E00

Divisor Catalog (60 of 200)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 64 72 76 80 81 90 95 96 108 114 120 128 135 144 152 160 162 171 180 190 192 216 228 240 256 270 285 288 304 320 324 342 360

Collatz Trajectory (154 steps to reach 1)

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

3,939,840 1,969,920 984,960 492,480 246,240 123,120 61,560 30,780 15,390 7,695 23,086 11,543 34,630 17,315 51,946 25,973 77,920 38,960 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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