3,340,304

2⁴ × 11 × 18979

3,340,304 factors as 2^4 × 11 × 18979. Its 20 positive divisors give a proper-divisor sum of 3,720,256, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 18979

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,060,560

Proper Divisor Sum 3,720,256

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3340301 ← → #3340327

Radix Representation

Decimal	3340304
Binary	1100101111100000010000 (22 bits)
Octal	0o14574020
Hexadecimal	0x32F810

Divisor Catalog (20)

Collatz Trajectory (115 steps to reach 1)

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

3,340,304 1,670,152 835,076 417,538 208,769 626,308 313,154 156,577 469,732 234,866 117,433 352,300 176,150 88,075 264,226 132,113 396,340 198,170 99,085 297,256 148,628 74,314 37,157 111,472 55,736 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202

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