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Atlas › Integer Profiles › Node 8,892,736

8,892,736

26 × 41 × 3389
Abundant Even Composite

8,892,736 factors as 2^6 × 41 × 3389. Its 28 positive divisors give a proper-divisor sum of 9,189,524, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^6 × 41 × 3389
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 18,082,260
Proper Divisor Sum 9,189,524
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8892733 ← → #8892749

Radix Representation

Decimal 8892736
Binary 100001111011000101000000 (24 bits)
Octal 0o41730500
Hexadecimal 0x87B140

Divisor Catalog (28)

1 2 4 8 16 32 41 64 82 164 328 656 1,312 2,624 3,389 6,778 13,556 27,112 54,224 108,448 138,949 216,896 277,898 555,796 1,111,592 2,223,184 4,446,368 8,892,736

Collatz Trajectory (57 steps to reach 1)

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

8,892,736 4,446,368 2,223,184 1,111,592 555,796 277,898 138,949 416,848 208,424 104,212 52,106 26,053 78,160 39,080 19,540 9,770 4,885 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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