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Atlas › Integer Profiles › Node 8,902,180

8,902,180

22 × 5 × 7 × 63587
Abundant Even Composite

8,902,180 factors as 2^2 × 5 × 7 × 63587. Its 24 positive divisors give a proper-divisor sum of 12,463,388, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 63587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,365,568
Proper Divisor Sum 12,463,388
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8902151 ← → #8902183

Radix Representation

Decimal 8902180
Binary 100001111101011000100100 (24 bits)
Octal 0o41753044
Hexadecimal 0x87D624

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 63,587 127,174 254,348 317,935 445,109 635,870 890,218 1,271,740 1,780,436 2,225,545 4,451,090 8,902,180

Collatz Trajectory (168 steps to reach 1)

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

8,902,180 4,451,090 2,225,545 6,676,636 3,338,318 1,669,159 5,007,478 2,503,739 7,511,218 3,755,609 11,266,828 5,633,414 2,816,707 8,450,122 4,225,061 12,675,184 6,337,592 3,168,796 1,584,398 792,199 2,376,598 1,188,299 3,564,898 1,782,449 5,347,348 2,673,674 1,336,837 4,010,512 2,005,256 1,002,628 501,314 250,657 751,972 375,986 187,993 563,980 281,990 140,995 422,986 211,493 634,480 317,240 158,620 79,310 39,655 118,966 59,483 178,450 89,225 267,676 133,838 66,919 200,758 100,379 301,138 150,569 451,708 225,854 112,927 338,782

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