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Atlas › Integer Profiles › Node 1,990,272

1,990,272

27 × 3 × 71 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 71 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,434,560
Proper Divisor Sum 3,444,288
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1990253 ← → #1990273

Radix Representation

Decimal 1990272
Binary 111100101111010000000 (21 bits)
Octal 0o7457200
Hexadecimal 0x1E5E80

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 32 48 64 71 73 96 128 142 146 192 213 219 284 292 384 426 438 568 584 852 876 1,136 1,168 1,704 1,752 2,272 2,336 3,408 3,504 4,544 4,672 5,183 6,816 7,008 9,088 9,344 10,366 13,632 14,016 15,549 20,732 27,264 28,032 31,098 41,464 62,196 82,928 124,392 165,856 248,784 331,712

Collatz Trajectory (60 steps to reach 1)

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

1,990,272 995,136 497,568 248,784 124,392 62,196 31,098 15,549 46,648 23,324 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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