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Atlas › Integer Profiles › Node 8,558,628

8,558,628

22 × 3 × 13 × 83 × 661
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 83 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,798,336
Proper Divisor Sum 13,239,708
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8558611 ← → #8558629

Radix Representation

Decimal 8558628
Binary 100000101001100000100100 (24 bits)
Octal 0o40514044
Hexadecimal 0x829824

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 661 996 1,079 1,322 1,983 2,158 2,644 3,237 3,966 4,316 6,474 7,932 8,593 12,948 17,186 25,779 34,372 51,558 54,863 103,116 109,726 164,589 219,452 329,178 658,356 713,219 1,426,438 2,139,657 2,852,876 4,279,314 8,558,628

Collatz Trajectory (274 steps to reach 1)

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

8,558,628 4,279,314 2,139,657 6,418,972 3,209,486 1,604,743 4,814,230 2,407,115 7,221,346 3,610,673 10,832,020 5,416,010 2,708,005 8,124,016 4,062,008 2,031,004 1,015,502 507,751 1,523,254 761,627 2,284,882 1,142,441 3,427,324 1,713,662 856,831 2,570,494 1,285,247 3,855,742 1,927,871 5,783,614 2,891,807 8,675,422 4,337,711 13,013,134 6,506,567 19,519,702 9,759,851 29,279,554 14,639,777 43,919,332 21,959,666 10,979,833 32,939,500 16,469,750 8,234,875 24,704,626 12,352,313 37,056,940 18,528,470 9,264,235 27,792,706 13,896,353 41,689,060 20,844,530 10,422,265 31,266,796 15,633,398 7,816,699 23,450,098 11,725,049

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