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Atlas › Integer Profiles › Node 10,880,296

10,880,296

23 × 7 × 97 × 2003
Abundant Even Composite

10,880,296 factors as 2^3 × 7 × 97 × 2003. Its 32 positive divisors give a proper-divisor sum of 12,686,744, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 97 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,567,040
Proper Divisor Sum 12,686,744
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #10880291 ← → #10880299

Radix Representation

Decimal 10880296
Binary 101001100000010100101000 (24 bits)
Octal 0o51402450
Hexadecimal 0xA60528

Divisor Catalog (32)

1 2 4 7 8 14 28 56 97 194 388 679 776 1,358 2,003 2,716 4,006 5,432 8,012 14,021 16,024 28,042 56,084 112,168 194,291 388,582 777,164 1,360,037 1,554,328 2,720,074 5,440,148 10,880,296

Collatz Trajectory (114 steps to reach 1)

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

10,880,296 5,440,148 2,720,074 1,360,037 4,080,112 2,040,056 1,020,028 510,014 255,007 765,022 382,511 1,147,534 573,767 1,721,302 860,651 2,581,954 1,290,977 3,872,932 1,936,466 968,233 2,904,700 1,452,350 726,175 2,178,526 1,089,263 3,267,790 1,633,895 4,901,686 2,450,843 7,352,530 3,676,265 11,028,796 5,514,398 2,757,199 8,271,598 4,135,799 12,407,398 6,203,699 18,611,098 9,305,549 27,916,648 13,958,324 6,979,162 3,489,581 10,468,744 5,234,372 2,617,186 1,308,593 3,925,780 1,962,890 981,445 2,944,336 1,472,168 736,084 368,042 184,021 552,064 276,032 138,016 69,008

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