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Atlas › Integer Profiles › Node 10,674,800

10,674,800

24 × 52 × 26687
Abundant Even Composite

10,674,800 factors as 2^4 × 5^2 × 26687. Its 30 positive divisors give a proper-divisor sum of 14,972,368, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 26687
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 25,647,168
Proper Divisor Sum 14,972,368
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10674773 ← → #10674809

Radix Representation

Decimal 10674800
Binary 101000101110001001110000 (24 bits)
Octal 0o50561160
Hexadecimal 0xA2E270

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 26,687 53,374 106,748 133,435 213,496 266,870 426,992 533,740 667,175 1,067,480 1,334,350 2,134,960 2,668,700 5,337,400 10,674,800

Collatz Trajectory (145 steps to reach 1)

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

10,674,800 5,337,400 2,668,700 1,334,350 667,175 2,001,526 1,000,763 3,002,290 1,501,145 4,503,436 2,251,718 1,125,859 3,377,578 1,688,789 5,066,368 2,533,184 1,266,592 633,296 316,648 158,324 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883

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