3,749,648

2⁴ × 7 × 33479

3,749,648 is even and not a perfect square. Its factorization is 2^4 × 7 × 33479 and its 20 divisors sum to 8,303,040.

Prime Factor Structure

Factorization String 2^4 × 7 × 33479

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,303,040

Proper Divisor Sum 4,553,392

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3749633 ← → #3749653

Radix Representation

Decimal	3749648
Binary	1110010011011100010000 (22 bits)
Octal	0o16233420
Hexadecimal	0x393710

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 33,479 66,958 133,916 234,353 267,832 468,706 535,664 937,412 1,874,824 3,749,648

Collatz Trajectory (172 steps to reach 1)

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

3,749,648 1,874,824 937,412 468,706 234,353 703,060 351,530 175,765 527,296 263,648 131,824 65,912 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661

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