λ
Zalai Atlas

871,998

2 × 3 × 17 × 83 × 103
Abundant Even Composite

871,998 has the prime decomposition 2 × 3 × 17 × 83 × 103. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 83 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,886,976
Proper Divisor Sum 1,014,978
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #871993 ← → #872017

Radix Representation

Decimal 871998
Binary 11010100111000111110 (20 bits)
Octal 0o3247076
Hexadecimal 0xD4E3E

Divisor Catalog (32)

1 2 3 6 17 34 51 83 102 103 166 206 249 309 498 618 1,411 1,751 2,822 3,502 4,233 5,253 8,466 8,549 10,506 17,098 25,647 51,294 145,333 290,666 435,999 871,998

Collatz Trajectory (100 steps to reach 1)

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

871,998 435,999 1,307,998 653,999 1,961,998 980,999 2,942,998 1,471,499 4,414,498 2,207,249 6,621,748 3,310,874 1,655,437 4,966,312 2,483,156 1,241,578 620,789 1,862,368 931,184 465,592 232,796 116,398 58,199 174,598 87,299 261,898 130,949 392,848 196,424 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190

More profiles

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