26,537,772

2² × 3 × 2211481

26,537,772 factors as 2^2 × 3 × 2211481. Its 12 positive divisors give a proper-divisor sum of 35,383,724, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 2211481

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 61,921,496

Proper Divisor Sum 35,383,724

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #26537761 ← → #26537773

Radix Representation

Decimal	26537772
Binary	1100101001110111100101100 (25 bits)
Octal	0o145167454
Hexadecimal	0x194EF2C

Divisor Catalog (12)

1 2 3 4 6 12 2,211,481 4,422,962 6,634,443 8,845,924 13,268,886 26,537,772

Collatz Trajectory (118 steps to reach 1)

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

26,537,772 13,268,886 6,634,443 19,903,330 9,951,665 29,854,996 14,927,498 7,463,749 22,391,248 11,195,624 5,597,812 2,798,906 1,399,453 4,198,360 2,099,180 1,049,590 524,795 1,574,386 787,193 2,361,580 1,180,790 590,395 1,771,186 885,593 2,656,780 1,328,390 664,195 1,992,586 996,293 2,988,880 1,494,440 747,220 373,610 186,805 560,416 280,208 140,104 70,052 35,026 17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676

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