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3,313,640

23 × 5 × 11 × 17 × 443
Abundant Even Composite

3,313,640 factors as 2^3 × 5 × 11 × 17 × 443. Its 64 positive divisors give a proper-divisor sum of 5,317,720, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 17 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,631,360
Proper Divisor Sum 5,317,720
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3313637 ← → #3313649

Radix Representation

Decimal 3313640
Binary 1100101000111111101000 (22 bits)
Octal 0o14507750
Hexadecimal 0x328FE8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 443 680 748 886 935 1,496 1,772 1,870 2,215 3,544 3,740 4,430 4,873 7,480 7,531 8,860 9,746 15,062 17,720 19,492 24,365 30,124 37,655 38,984 48,730 60,248 75,310 82,841 97,460 150,620 165,682 194,920 301,240 331,364 414,205

Collatz Trajectory (177 steps to reach 1)

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

3,313,640 1,656,820 828,410 414,205 1,242,616 621,308 310,654 155,327 465,982 232,991 698,974 349,487 1,048,462 524,231 1,572,694 786,347 2,359,042 1,179,521 3,538,564 1,769,282 884,641 2,653,924 1,326,962 663,481 1,990,444 995,222 497,611 1,492,834 746,417 2,239,252 1,119,626 559,813 1,679,440 839,720 419,860 209,930 104,965 314,896 157,448 78,724 39,362 19,681 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116

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