3,673,416

2³ × 3 × 153059

3,673,416 factors as 2^3 × 3 × 153059. Its 16 positive divisors give a proper-divisor sum of 5,510,184, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 153059

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,183,600

Proper Divisor Sum 5,510,184

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3673393 ← → #3673429

Radix Representation

Decimal	3673416
Binary	1110000000110101001000 (22 bits)
Octal	0o16006510
Hexadecimal	0x380D48

Divisor Catalog (16)

1 2 3 4 6 8 12 24 153,059 306,118 459,177 612,236 918,354 1,224,472 1,836,708 3,673,416

Collatz Trajectory (203 steps to reach 1)

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

3,673,416 1,836,708 918,354 459,177 1,377,532 688,766 344,383 1,033,150 516,575 1,549,726 774,863 2,324,590 1,162,295 3,486,886 1,743,443 5,230,330 2,615,165 7,845,496 3,922,748 1,961,374 980,687 2,942,062 1,471,031 4,413,094 2,206,547 6,619,642 3,309,821 9,929,464 4,964,732 2,482,366 1,241,183 3,723,550 1,861,775 5,585,326 2,792,663 8,377,990 4,188,995 12,566,986 6,283,493 18,850,480 9,425,240 4,712,620 2,356,310 1,178,155 3,534,466 1,767,233 5,301,700 2,650,850 1,325,425 3,976,276 1,988,138 994,069 2,982,208 1,491,104 745,552 372,776 186,388 93,194 46,597 139,792

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