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Atlas › Integer Profiles › Node 8,890,900

8,890,900

22 × 52 × 67 × 1327
Abundant Even Composite

8,890,900 factors as 2^2 × 5^2 × 67 × 1327. Its 36 positive divisors give a proper-divisor sum of 10,705,068, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 67 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,595,968
Proper Divisor Sum 10,705,068
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8890837 ← → #8890919

Radix Representation

Decimal 8890900
Binary 100001111010101000010100 (24 bits)
Octal 0o41725024
Hexadecimal 0x87AA14

Divisor Catalog (36)

1 2 4 5 10 20 25 50 67 100 134 268 335 670 1,327 1,340 1,675 2,654 3,350 5,308 6,635 6,700 13,270 26,540 33,175 66,350 88,909 132,700 177,818 355,636 444,545 889,090 1,778,180 2,222,725 4,445,450 8,890,900

Collatz Trajectory (142 steps to reach 1)

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

8,890,900 4,445,450 2,222,725 6,668,176 3,334,088 1,667,044 833,522 416,761 1,250,284 625,142 312,571 937,714 468,857 1,406,572 703,286 351,643 1,054,930 527,465 1,582,396 791,198 395,599 1,186,798 593,399 1,780,198 890,099 2,670,298 1,335,149 4,005,448 2,002,724 1,001,362 500,681 1,502,044 751,022 375,511 1,126,534 563,267 1,689,802 844,901 2,534,704 1,267,352 633,676 316,838 158,419 475,258 237,629 712,888 356,444 178,222 89,111 267,334 133,667 401,002 200,501 601,504 300,752 150,376 75,188 37,594 18,797 56,392

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