3,745,616

2⁴ × 7 × 53 × 631

3,745,616 is even and not a perfect square. Its factorization is 2^4 × 7 × 53 × 631 and its 40 divisors sum to 8,463,744.

Prime Factor Structure

Factorization String 2^4 × 7 × 53 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,463,744

Proper Divisor Sum 4,718,128

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3745613 ← → #3745631

Radix Representation

Decimal	3745616
Binary	1110010010011101010000 (22 bits)
Octal	0o16223520
Hexadecimal	0x392750

Divisor Catalog (40)

1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 631 742 848 1,262 1,484 2,524 2,968 4,417 5,048 5,936 8,834 10,096 17,668 33,443 35,336 66,886 70,672 133,772 234,101 267,544 468,202 535,088 936,404 1,872,808 3,745,616

Collatz Trajectory (66 steps to reach 1)

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

3,745,616 1,872,808 936,404 468,202 234,101 702,304 351,152 175,576 87,788 43,894 21,947 65,842 32,921 98,764 49,382 24,691 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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