λ
Ratio Atlas

12,031,771

37 × 433 × 751
Deficient Odd Composite

12,031,771 factors as 37 × 433 × 751. Its 8 positive divisors give a proper-divisor sum of 370,213, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 37 × 433 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,401,984
Proper Divisor Sum 370,213
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #12031729 ← → #12031777

Radix Representation

Decimal 12031771
Binary 101101111001011100011011 (24 bits)
Octal 0o55713433
Hexadecimal 0xB7971B

Divisor Catalog (8)

Collatz Trajectory (272 steps to reach 1)

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

12,031,771 36,095,314 18,047,657 54,142,972 27,071,486 13,535,743 40,607,230 20,303,615 60,910,846 30,455,423 91,366,270 45,683,135 137,049,406 68,524,703 205,574,110 102,787,055 308,361,166 154,180,583 462,541,750 231,270,875 693,812,626 346,906,313 1,040,718,940 520,359,470 260,179,735 780,539,206 390,269,603 1,170,808,810 585,404,405 1,756,213,216 878,106,608 439,053,304 219,526,652 109,763,326 54,881,663 164,644,990 82,322,495 246,967,486 123,483,743 370,451,230 185,225,615 555,676,846 277,838,423 833,515,270 416,757,635 1,250,272,906 625,136,453 1,875,409,360 937,704,680 468,852,340 234,426,170 117,213,085 351,639,256 175,819,628 87,909,814 43,954,907 131,864,722 65,932,361 197,797,084 98,898,542

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