3,348,604

2² × 7 × 59 × 2027

3,348,604 factors as 2^2 × 7 × 59 × 2027. Its 24 positive divisors give a proper-divisor sum of 3,465,476, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 59 × 2027

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,814,080

Proper Divisor Sum 3,465,476

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3348599 ← → #3348613

Radix Representation

Decimal	3348604
Binary	1100110001100001111100 (22 bits)
Octal	0o14614174
Hexadecimal	0x33187C

Divisor Catalog (24)

Collatz Trajectory (115 steps to reach 1)

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

3,348,604 1,674,302 837,151 2,511,454 1,255,727 3,767,182 1,883,591 5,650,774 2,825,387 8,476,162 4,238,081 12,714,244 6,357,122 3,178,561 9,535,684 4,767,842 2,383,921 7,151,764 3,575,882 1,787,941 5,363,824 2,681,912 1,340,956 670,478 335,239 1,005,718 502,859 1,508,578 754,289 2,262,868 1,131,434 565,717 1,697,152 848,576 424,288 212,144 106,072 53,036 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544

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