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Atlas › Integer Profiles › Node 17,801,418

17,801,418

2 × 3 × 29 × 263 × 389
Abundant Even Composite

17,801,418 factors as 2 × 3 × 29 × 263 × 389. Its 32 positive divisors give a proper-divisor sum of 19,264,182, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 263 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,065,600
Proper Divisor Sum 19,264,182
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17801411 ← → #17801419

Radix Representation

Decimal 17801418
Binary 1000011111010000011001010 (25 bits)
Octal 0o103720312
Hexadecimal 0x10FA0CA

Divisor Catalog (32)

1 2 3 6 29 58 87 174 263 389 526 778 789 1,167 1,578 2,334 7,627 11,281 15,254 22,562 22,881 33,843 45,762 67,686 102,307 204,614 306,921 613,842 2,966,903 5,933,806 8,900,709 17,801,418

Collatz Trajectory (213 steps to reach 1)

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

17,801,418 8,900,709 26,702,128 13,351,064 6,675,532 3,337,766 1,668,883 5,006,650 2,503,325 7,509,976 3,754,988 1,877,494 938,747 2,816,242 1,408,121 4,224,364 2,112,182 1,056,091 3,168,274 1,584,137 4,752,412 2,376,206 1,188,103 3,564,310 1,782,155 5,346,466 2,673,233 8,019,700 4,009,850 2,004,925 6,014,776 3,007,388 1,503,694 751,847 2,255,542 1,127,771 3,383,314 1,691,657 5,074,972 2,537,486 1,268,743 3,806,230 1,903,115 5,709,346 2,854,673 8,564,020 4,282,010 2,141,005 6,423,016 3,211,508 1,605,754 802,877 2,408,632 1,204,316 602,158 301,079 903,238 451,619 1,354,858 677,429

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