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Atlas › Integer Profiles › Node 26,230,666

26,230,666

2 × 7 × 11 × 71 × 2399
Deficient Even Composite

26,230,666 factors as 2 × 7 × 11 × 71 × 2399. Its 32 positive divisors give a proper-divisor sum of 23,535,734, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 71 × 2399
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,766,400
Proper Divisor Sum 23,535,734
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26230661 ← → #26230667

Radix Representation

Decimal 26230666
Binary 1100100000011111110001010 (25 bits)
Octal 0o144037612
Hexadecimal 0x1903F8A

Divisor Catalog (32)

1 2 7 11 14 22 71 77 142 154 497 781 994 1,562 2,399 4,798 5,467 10,934 16,793 26,389 33,586 52,778 170,329 184,723 340,658 369,446 1,192,303 1,873,619 2,384,606 3,747,238 13,115,333 26,230,666

Collatz Trajectory (180 steps to reach 1)

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

26,230,666 13,115,333 39,346,000 19,673,000 9,836,500 4,918,250 2,459,125 7,377,376 3,688,688 1,844,344 922,172 461,086 230,543 691,630 345,815 1,037,446 518,723 1,556,170 778,085 2,334,256 1,167,128 583,564 291,782 145,891 437,674 218,837 656,512 328,256 164,128 82,064 41,032 20,516 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772

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