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3,370,556

22 × 7 × 17 × 73 × 97
Abundant Even Composite

3,370,556 factors as 2^2 × 7 × 17 × 73 × 97. Its 48 positive divisors give a proper-divisor sum of 3,939,460, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 73 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,310,016
Proper Divisor Sum 3,939,460
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3370541 ← → #3370567

Radix Representation

Decimal 3370556
Binary 1100110110111000111100 (22 bits)
Octal 0o14667074
Hexadecimal 0x336E3C

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 73 97 119 146 194 238 292 388 476 511 679 1,022 1,241 1,358 1,649 2,044 2,482 2,716 3,298 4,964 6,596 7,081 8,687 11,543 14,162 17,374 23,086 28,324 34,748 46,172 49,567 99,134 120,377 198,268 240,754 481,508 842,639 1,685,278 3,370,556

Collatz Trajectory (177 steps to reach 1)

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

3,370,556 1,685,278 842,639 2,527,918 1,263,959 3,791,878 1,895,939 5,687,818 2,843,909 8,531,728 4,265,864 2,132,932 1,066,466 533,233 1,599,700 799,850 399,925 1,199,776 599,888 299,944 149,972 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598

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