3,706,896

2⁴ × 3 × 29 × 2663

3,706,896 has the prime decomposition 2^4 × 3 × 29 × 2663. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 29 × 2663

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,910,080

Proper Divisor Sum 6,203,184

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3706891 ← → #3706897

Radix Representation

Decimal	3706896
Binary	1110001001000000010000 (22 bits)
Octal	0o16110020
Hexadecimal	0x389010

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1,392 2,663 5,326 7,989 10,652 15,978 21,304 31,956 42,608 63,912 77,227 127,824 154,454 231,681 308,908 463,362 617,816 926,724 1,235,632 1,853,448 3,706,896

Collatz Trajectory (53 steps to reach 1)

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

3,706,896 1,853,448 926,724 463,362 231,681 695,044 347,522 173,761 521,284 260,642 130,321 390,964 195,482 97,741 293,224 146,612 73,306 36,653 109,960 54,980 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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