3,837,642

2 × 3 × 23 × 27809

3,837,642 is even and not a perfect square. Its factorization is 2 × 3 × 23 × 27809 and its 16 divisors sum to 8,009,280.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 27809

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,009,280

Proper Divisor Sum 4,171,638

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3837629 ← → #3837643

Radix Representation

Decimal	3837642
Binary	1110101000111011001010 (22 bits)
Octal	0o16507312
Hexadecimal	0x3A8ECA

Divisor Catalog (16)

1 2 3 6 23 46 69 138 27,809 55,618 83,427 166,854 639,607 1,279,214 1,918,821 3,837,642

Collatz Trajectory (79 steps to reach 1)

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

3,837,642 1,918,821 5,756,464 2,878,232 1,439,116 719,558 359,779 1,079,338 539,669 1,619,008 809,504 404,752 202,376 101,188 50,594 25,297 75,892 37,946 18,973 56,920 28,460 14,230 7,115 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19

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