λ
Sigma Notebook

3,737,737

19 × 127 × 1549
Deficient Odd Composite

3,737,737 is odd and not a perfect square. Its factorization is 19 × 127 × 1549 and its 8 divisors sum to 3,968,000.

Prime Factor Structure

Factorization String 19 × 127 × 1549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,968,000
Proper Divisor Sum 230,263
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3737731 ← → #3737743

Radix Representation

Decimal 3737737
Binary 1110010000100010001001 (22 bits)
Octal 0o16204211
Hexadecimal 0x390889

Divisor Catalog (8)

1 19 127 1,549 2,413 29,431 196,723 3,737,737

Collatz Trajectory (185 steps to reach 1)

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

3,737,737 11,213,212 5,606,606 2,803,303 8,409,910 4,204,955 12,614,866 6,307,433 18,922,300 9,461,150 4,730,575 14,191,726 7,095,863 21,287,590 10,643,795 31,931,386 15,965,693 47,897,080 23,948,540 11,974,270 5,987,135 17,961,406 8,980,703 26,942,110 13,471,055 40,413,166 20,206,583 60,619,750 30,309,875 90,929,626 45,464,813 136,394,440 68,197,220 34,098,610 17,049,305 51,147,916 25,573,958 12,786,979 38,360,938 19,180,469 57,541,408 28,770,704 14,385,352 7,192,676 3,596,338 1,798,169 5,394,508 2,697,254 1,348,627 4,045,882 2,022,941 6,068,824 3,034,412 1,517,206 758,603 2,275,810 1,137,905 3,413,716 1,706,858 853,429

More profiles

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