3,415,308

2² × 3 × 13 × 21893

3,415,308 factors as 2^2 × 3 × 13 × 21893. Its 24 positive divisors give a proper-divisor sum of 5,167,140, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 21893

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,582,448

Proper Divisor Sum 5,167,140

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3415303 ← → #3415309

Radix Representation

Decimal	3415308
Binary	1101000001110100001100 (22 bits)
Octal	0o15016414
Hexadecimal	0x341D0C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 21,893 43,786 65,679 87,572 131,358 262,716 284,609 569,218 853,827 1,138,436 1,707,654 3,415,308

Collatz Trajectory (208 steps to reach 1)

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

3,415,308 1,707,654 853,827 2,561,482 1,280,741 3,842,224 1,921,112 960,556 480,278 240,139 720,418 360,209 1,080,628 540,314 270,157 810,472 405,236 202,618 101,309 303,928 151,964 75,982 37,991 113,974 56,987 170,962 85,481 256,444 128,222 64,111 192,334 96,167 288,502 144,251 432,754 216,377 649,132 324,566 162,283 486,850 243,425 730,276 365,138 182,569 547,708 273,854 136,927 410,782 205,391 616,174 308,087 924,262 462,131 1,386,394 693,197 2,079,592 1,039,796 519,898 259,949 779,848

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