λ
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Atlas › Integer Profiles › Node 10,679,110

10,679,110

2 × 5 × 132 × 71 × 89
Deficient Even Composite

10,679,110 factors as 2 × 5 × 13^2 × 71 × 89. Its 48 positive divisors give a proper-divisor sum of 10,666,010, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 71 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,345,120
Proper Divisor Sum 10,666,010
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10679101 ← → #10679161

Radix Representation

Decimal 10679110
Binary 101000101111001101000110 (24 bits)
Octal 0o50571506
Hexadecimal 0xA2F346

Divisor Catalog (48)

1 2 5 10 13 26 65 71 89 130 142 169 178 338 355 445 710 845 890 923 1,157 1,690 1,846 2,314 4,615 5,785 6,319 9,230 11,570 11,999 12,638 15,041 23,998 30,082 31,595 59,995 63,190 75,205 82,147 119,990 150,410 164,294 410,735 821,470 1,067,911 2,135,822 5,339,555 10,679,110

Collatz Trajectory (171 steps to reach 1)

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

10,679,110 5,339,555 16,018,666 8,009,333 24,028,000 12,014,000 6,007,000 3,003,500 1,501,750 750,875 2,252,626 1,126,313 3,378,940 1,689,470 844,735 2,534,206 1,267,103 3,801,310 1,900,655 5,701,966 2,850,983 8,552,950 4,276,475 12,829,426 6,414,713 19,244,140 9,622,070 4,811,035 14,433,106 7,216,553 21,649,660 10,824,830 5,412,415 16,237,246 8,118,623 24,355,870 12,177,935 36,533,806 18,266,903 54,800,710 27,400,355 82,201,066 41,100,533 123,301,600 61,650,800 30,825,400 15,412,700 7,706,350 3,853,175 11,559,526 5,779,763 17,339,290 8,669,645 26,008,936 13,004,468 6,502,234 3,251,117 9,753,352 4,876,676 2,438,338

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