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Atlas › Integer Profiles › Node 8,935,008

8,935,008

25 × 3 × 163 × 571
Abundant Even Composite

8,935,008 factors as 2^5 × 3 × 163 × 571. Its 48 positive divisors give a proper-divisor sum of 14,704,608, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 163 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,639,616
Proper Divisor Sum 14,704,608
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8934983 ← → #8935009

Radix Representation

Decimal 8935008
Binary 100010000101011001100000 (24 bits)
Octal 0o42053140
Hexadecimal 0x885660

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 571 652 978 1,142 1,304 1,713 1,956 2,284 2,608 3,426 3,912 4,568 5,216 6,852 7,824 9,136 13,704 15,648 18,272 27,408 54,816 93,073 186,146 279,219 372,292 558,438 744,584 1,116,876 1,489,168 2,233,752 2,978,336 4,467,504 8,935,008

Collatz Trajectory (119 steps to reach 1)

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

8,935,008 4,467,504 2,233,752 1,116,876 558,438 279,219 837,658 418,829 1,256,488 628,244 314,122 157,061 471,184 235,592 117,796 58,898 29,449 88,348 44,174 22,087 66,262 33,131 99,394 49,697 149,092 74,546 37,273 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698

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