λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,926,274

36,926,274

2 × 3 × 7 × 11 × 257 × 311
Abundant Even Composite

36,926,274 factors as 2 × 3 × 7 × 11 × 257 × 311. Its 64 positive divisors give a proper-divisor sum of 55,805,118, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 257 × 311
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 92,731,392
Proper Divisor Sum 55,805,118
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36926273 ← → #36926287

Radix Representation

Decimal 36926274
Binary 10001100110111001101000010 (26 bits)
Octal 0o214671502
Hexadecimal 0x2337342

Divisor Catalog (60 of 64)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 257 311 462 514 622 771 933 1,542 1,799 1,866 2,177 2,827 3,421 3,598 4,354 5,397 5,654 6,531 6,842 8,481 10,263 10,794 13,062 16,962 19,789 20,526 23,947 39,578 47,894 59,367 71,841 79,927 118,734 143,682 159,854 239,781 479,562 559,489 879,197 1,118,978 1,678,467 1,758,394 2,637,591 3,356,934 5,275,182

Collatz Trajectory (103 steps to reach 1)

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

36,926,274 18,463,137 55,389,412 27,694,706 13,847,353 41,542,060 20,771,030 10,385,515 31,156,546 15,578,273 46,734,820 23,367,410 11,683,705 35,051,116 17,525,558 8,762,779 26,288,338 13,144,169 39,432,508 19,716,254 9,858,127 29,574,382 14,787,191 44,361,574 22,180,787 66,542,362 33,271,181 99,813,544 49,906,772 24,953,386 12,476,693 37,430,080 18,715,040 9,357,520 4,678,760 2,339,380 1,169,690 584,845 1,754,536 877,268 438,634 219,317 657,952 328,976 164,488 82,244 41,122 20,561 61,684 30,842 15,421 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,926,273 Browse Full Index Next Integer #36,926,275 →