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Atlas › Integer Profiles › Node 8,538,726

8,538,726

2 × 3 × 7 × 17 × 11959
Abundant Even Composite

8,538,726 factors as 2 × 3 × 7 × 17 × 11959. Its 32 positive divisors give a proper-divisor sum of 12,128,154, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 11959
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,666,880
Proper Divisor Sum 12,128,154
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8538721 ← → #8538767

Radix Representation

Decimal 8538726
Binary 100000100100101001100110 (24 bits)
Octal 0o40445146
Hexadecimal 0x824A66

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 11,959 23,918 35,877 71,754 83,713 167,426 203,303 251,139 406,606 502,278 609,909 1,219,818 1,423,121 2,846,242 4,269,363 8,538,726

Collatz Trajectory (124 steps to reach 1)

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

8,538,726 4,269,363 12,808,090 6,404,045 19,212,136 9,606,068 4,803,034 2,401,517 7,204,552 3,602,276 1,801,138 900,569 2,701,708 1,350,854 675,427 2,026,282 1,013,141 3,039,424 1,519,712 759,856 379,928 189,964 94,982 47,491 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510

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