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Atlas › Integer Profiles › Node 11,627,728

11,627,728

24 × 7 × 17 × 31 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 31 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 28,283,904
Proper Divisor Sum 16,656,176
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #11627717 ← → #11627729

Radix Representation

Decimal 11627728
Binary 101100010110110011010000 (24 bits)
Octal 0o54266320
Hexadecimal 0xB16CD0

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 197 217 238 248 272 394 434 476 496 527 788 868 952 1,054 1,379 1,576 1,736 1,904 2,108 2,758 3,152 3,349 3,472 3,689 4,216 5,516 6,107 6,698 7,378 8,432 11,032 12,214 13,396 14,756 22,064 23,443 24,428 26,792 29,512 42,749 46,886 48,856

Collatz Trajectory (52 steps to reach 1)

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

11,627,728 5,813,864 2,906,932 1,453,466 726,733 2,180,200 1,090,100 545,050 272,525 817,576 408,788 204,394 102,197 306,592 153,296 76,648 38,324 19,162 9,581 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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