3,760,042

2 × 11 × 13 × 13147

3,760,042 has digital root 4. The neighboring primes are 3760039 and 3760067; its proper-divisor sum differs from the starting integer by -893,492.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 13147

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,626,592

Proper Divisor Sum 2,866,550

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3760039 ← → #3760067

Radix Representation

Decimal	3760042
Binary	1110010101111110101010 (22 bits)
Octal	0o16257652
Hexadecimal	0x395FAA

Divisor Catalog (16)

1 2 11 13 22 26 143 286 13,147 26,294 144,617 170,911 289,234 341,822 1,880,021 3,760,042

Collatz Trajectory (110 steps to reach 1)

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

3,760,042 1,880,021 5,640,064 2,820,032 1,410,016 705,008 352,504 176,252 88,126 44,063 132,190 66,095 198,286 99,143 297,430 148,715 446,146 223,073 669,220 334,610 167,305 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854

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