λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,697,326

3,697,326

2 × 34 × 29 × 787
Abundant Even Composite

3,697,326 factors as 2 × 3^4 × 29 × 787. Its 40 positive divisors give a proper-divisor sum of 4,883,994, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 29 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,581,320
Proper Divisor Sum 4,883,994
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3697321 ← → #3697361

Radix Representation

Decimal 3697326
Binary 1110000110101010101110 (22 bits)
Octal 0o16065256
Hexadecimal 0x386AAE

Divisor Catalog (40)

1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 787 1,566 1,574 2,349 2,361 4,698 4,722 7,083 14,166 21,249 22,823 42,498 45,646 63,747 68,469 127,494 136,938 205,407 410,814 616,221 1,232,442 1,848,663 3,697,326

Collatz Trajectory (97 steps to reach 1)

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

3,697,326 1,848,663 5,545,990 2,772,995 8,318,986 4,159,493 12,478,480 6,239,240 3,119,620 1,559,810 779,905 2,339,716 1,169,858 584,929 1,754,788 877,394 438,697 1,316,092 658,046 329,023 987,070 493,535 1,480,606 740,303 2,220,910 1,110,455 3,331,366 1,665,683 4,997,050 2,498,525 7,495,576 3,747,788 1,873,894 936,947 2,810,842 1,405,421 4,216,264 2,108,132 1,054,066 527,033 1,581,100 790,550 395,275 1,185,826 592,913 1,778,740 889,370 444,685 1,334,056 667,028 333,514 166,757 500,272 250,136 125,068 62,534 31,267 93,802 46,901 140,704

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,697,325 Browse Full Index Next Integer #3,697,327 →