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Atlas › Integer Profiles › Node 10,191,040

10,191,040

26 × 5 × 31847
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 31847
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 24,268,176
Proper Divisor Sum 14,077,136
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10191037 ← → #10191059

Radix Representation

Decimal 10191040
Binary 100110111000000011000000 (24 bits)
Octal 0o46700300
Hexadecimal 0x9B80C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 31,847 63,694 127,388 159,235 254,776 318,470 509,552 636,940 1,019,104 1,273,880 2,038,208 2,547,760 5,095,520 10,191,040

Collatz Trajectory (83 steps to reach 1)

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

10,191,040 5,095,520 2,547,760 1,273,880 636,940 318,470 159,235 477,706 238,853 716,560 358,280 179,140 89,570 44,785 134,356 67,178 33,589 100,768 50,384 25,192 12,596 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304

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