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Atlas › Integer Profiles › Node 5,110,098

5,110,098

2 × 3 × 7 × 172 × 421
Abundant Even Composite

5,110,098 factors as 2 × 3 × 7 × 17^2 × 421. Its 48 positive divisors give a proper-divisor sum of 7,327,086, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17^2 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,437,184
Proper Divisor Sum 7,327,086
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5110097 ← → #5110103

Radix Representation

Decimal 5110098
Binary 10011011111100101010010 (23 bits)
Octal 0o23374522
Hexadecimal 0x4DF952

Divisor Catalog (48)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 421 578 714 842 867 1,263 1,734 2,023 2,526 2,947 4,046 5,894 6,069 7,157 8,841 12,138 14,314 17,682 21,471 42,942 50,099 100,198 121,669 150,297 243,338 300,594 365,007 730,014 851,683 1,703,366 2,555,049 5,110,098

Collatz Trajectory (188 steps to reach 1)

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

5,110,098 2,555,049 7,665,148 3,832,574 1,916,287 5,748,862 2,874,431 8,623,294 4,311,647 12,934,942 6,467,471 19,402,414 9,701,207 29,103,622 14,551,811 43,655,434 21,827,717 65,483,152 32,741,576 16,370,788 8,185,394 4,092,697 12,278,092 6,139,046 3,069,523 9,208,570 4,604,285 13,812,856 6,906,428 3,453,214 1,726,607 5,179,822 2,589,911 7,769,734 3,884,867 11,654,602 5,827,301 17,481,904 8,740,952 4,370,476 2,185,238 1,092,619 3,277,858 1,638,929 4,916,788 2,458,394 1,229,197 3,687,592 1,843,796 921,898 460,949 1,382,848 691,424 345,712 172,856 86,428 43,214 21,607 64,822 32,411

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