26,537,103

3² × 37 × 79691

26,537,103 factors as 3^2 × 37 × 79691. Its 12 positive divisors give a proper-divisor sum of 12,830,745, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 79691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 39,367,848

Proper Divisor Sum 12,830,745

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #26537089 ← → #26537107

Radix Representation

Decimal	26537103
Binary	1100101001110110010001111 (25 bits)
Octal	0o145166217
Hexadecimal	0x194EC8F

Divisor Catalog (12)

1 3 9 37 111 333 79,691 239,073 717,219 2,948,567 8,845,701 26,537,103

Collatz Trajectory (118 steps to reach 1)

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

26,537,103 79,611,310 39,805,655 119,416,966 59,708,483 179,125,450 89,562,725 268,688,176 134,344,088 67,172,044 33,586,022 16,793,011 50,379,034 25,189,517 75,568,552 37,784,276 18,892,138 9,446,069 28,338,208 14,169,104 7,084,552 3,542,276 1,771,138 885,569 2,656,708 1,328,354 664,177 1,992,532 996,266 498,133 1,494,400 747,200 373,600 186,800 93,400 46,700 23,350 11,675 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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