λ
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Atlas › Integer Profiles › Node 8,550,848

8,550,848

26 × 23 × 37 × 157
Abundant Even Composite

8,550,848 factors as 2^6 × 23 × 37 × 157. Its 56 positive divisors give a proper-divisor sum of 9,749,344, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 37 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,300,192
Proper Divisor Sum 9,749,344
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8550827 ← → #8550859

Radix Representation

Decimal 8550848
Binary 100000100111100111000000 (24 bits)
Octal 0o40474700
Hexadecimal 0x8279C0

Divisor Catalog (56)

1 2 4 8 16 23 32 37 46 64 74 92 148 157 184 296 314 368 592 628 736 851 1,184 1,256 1,472 1,702 2,368 2,512 3,404 3,611 5,024 5,809 6,808 7,222 10,048 11,618 13,616 14,444 23,236 27,232 28,888 46,472 54,464 57,776 92,944 115,552 133,607 185,888 231,104 267,214 371,776 534,428 1,068,856 2,137,712 4,275,424 8,550,848

Collatz Trajectory (181 steps to reach 1)

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

8,550,848 4,275,424 2,137,712 1,068,856 534,428 267,214 133,607 400,822 200,411 601,234 300,617 901,852 450,926 225,463 676,390 338,195 1,014,586 507,293 1,521,880 760,940 380,470 190,235 570,706 285,353 856,060 428,030 214,015 642,046 321,023 963,070 481,535 1,444,606 722,303 2,166,910 1,083,455 3,250,366 1,625,183 4,875,550 2,437,775 7,313,326 3,656,663 10,969,990 5,484,995 16,454,986 8,227,493 24,682,480 12,341,240 6,170,620 3,085,310 1,542,655 4,627,966 2,313,983 6,941,950 3,470,975 10,412,926 5,206,463 15,619,390 7,809,695 23,429,086 11,714,543

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