λ
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Atlas › Integer Profiles › Node 8,554,182

8,554,182

2 × 3 × 7 × 13 × 15667
Abundant Even Composite

8,554,182 factors as 2 × 3 × 7 × 13 × 15667. Its 32 positive divisors give a proper-divisor sum of 12,503,610, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 15667
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,057,792
Proper Divisor Sum 12,503,610
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8554177 ← → #8554187

Radix Representation

Decimal 8554182
Binary 100000101000011011000110 (24 bits)
Octal 0o40503306
Hexadecimal 0x8286C6

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 15,667 31,334 47,001 94,002 109,669 203,671 219,338 329,007 407,342 611,013 658,014 1,222,026 1,425,697 2,851,394 4,277,091 8,554,182

Collatz Trajectory (168 steps to reach 1)

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

8,554,182 4,277,091 12,831,274 6,415,637 19,246,912 9,623,456 4,811,728 2,405,864 1,202,932 601,466 300,733 902,200 451,100 225,550 112,775 338,326 169,163 507,490 253,745 761,236 380,618 190,309 570,928 285,464 142,732 71,366 35,683 107,050 53,525 160,576 80,288 40,144 20,072 10,036 5,018 2,509 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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