3,688,176

2⁴ × 3 × 76837

3,688,176 is even and not a perfect square. Its factorization is 2^4 × 3 × 76837 and its 20 divisors sum to 9,527,912.

Prime Factor Structure

Factorization String 2^4 × 3 × 76837

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,527,912

Proper Divisor Sum 5,839,736

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3688171 ← → #3688189

Radix Representation

Decimal	3688176
Binary	1110000100011011110000 (22 bits)
Octal	0o16043360
Hexadecimal	0x3846F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 76,837 153,674 230,511 307,348 461,022 614,696 922,044 1,229,392 1,844,088 3,688,176

Collatz Trajectory (203 steps to reach 1)

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

3,688,176 1,844,088 922,044 461,022 230,511 691,534 345,767 1,037,302 518,651 1,555,954 777,977 2,333,932 1,166,966 583,483 1,750,450 875,225 2,625,676 1,312,838 656,419 1,969,258 984,629 2,953,888 1,476,944 738,472 369,236 184,618 92,309 276,928 138,464 69,232 34,616 17,308 8,654 4,327 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901

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