3,766,020

2² × 3 × 5 × 23 × 2729

3,766,020 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 23 × 2729 and its 48 divisors sum to 11,007,360.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 23 × 2729

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,007,360

Proper Divisor Sum 7,241,340

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3766013 ← → #3766031

Radix Representation

Decimal	3766020
Binary	1110010111011100000100 (22 bits)
Octal	0o16273404
Hexadecimal	0x397704

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1,380 2,729 5,458 8,187 10,916 13,645 16,374 27,290 32,748 40,935 54,580 62,767 81,870 125,534 163,740 188,301 251,068 313,835 376,602 627,670 753,204 941,505 1,255,340 1,883,010 3,766,020

Collatz Trajectory (309 steps to reach 1)

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

3,766,020 1,883,010 941,505 2,824,516 1,412,258 706,129 2,118,388 1,059,194 529,597 1,588,792 794,396 397,198 198,599 595,798 297,899 893,698 446,849 1,340,548 670,274 335,137 1,005,412 502,706 251,353 754,060 377,030 188,515 565,546 282,773 848,320 424,160 212,080 106,040 53,020 26,510 13,255 39,766 19,883 59,650 29,825 89,476 44,738 22,369 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890

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