λ
Sigma Notebook

3,372,754

2 × 7 × 113 × 181
Deficient Even Composite

3,372,754 is even and not a perfect square. Its factorization is 2 × 7 × 11^3 × 181 and its 32 divisors sum to 6,394,752.

Prime Factor Structure

Factorization String 2 × 7 × 11^3 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,394,752
Proper Divisor Sum 3,021,998
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3372737 ← → #3372757

Radix Representation

Decimal 3372754
Binary 1100110111011011010010 (22 bits)
Octal 0o14673322
Hexadecimal 0x3376D2

Divisor Catalog (32)

1 2 7 11 14 22 77 121 154 181 242 362 847 1,267 1,331 1,694 1,991 2,534 2,662 3,982 9,317 13,937 18,634 21,901 27,874 43,802 153,307 240,911 306,614 481,822 1,686,377 3,372,754

Collatz Trajectory (177 steps to reach 1)

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

3,372,754 1,686,377 5,059,132 2,529,566 1,264,783 3,794,350 1,897,175 5,691,526 2,845,763 8,537,290 4,268,645 12,805,936 6,402,968 3,201,484 1,600,742 800,371 2,401,114 1,200,557 3,601,672 1,800,836 900,418 450,209 1,350,628 675,314 337,657 1,012,972 506,486 253,243 759,730 379,865 1,139,596 569,798 284,899 854,698 427,349 1,282,048 641,024 320,512 160,256 80,128 40,064 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598

More profiles

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