λ
Match Zalai

8,371,041

3 × 7 × 398621
Deficient Odd Composite

8,371,041 factors as 3 × 7 × 398621. Its 8 positive divisors give a proper-divisor sum of 4,384,863, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3 × 7 × 398621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,755,904
Proper Divisor Sum 4,384,863
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8371037 ← → #8371049

Radix Representation

Decimal 8371041
Binary 11111111011101101100001 (23 bits)
Octal 0o37735541
Hexadecimal 0x7FBB61

Divisor Catalog (8)

1 3 7 21 398,621 1,195,863 2,790,347 8,371,041

Collatz Trajectory (155 steps to reach 1)

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

8,371,041 25,113,124 12,556,562 6,278,281 18,834,844 9,417,422 4,708,711 14,126,134 7,063,067 21,189,202 10,594,601 31,783,804 15,891,902 7,945,951 23,837,854 11,918,927 35,756,782 17,878,391 53,635,174 26,817,587 80,452,762 40,226,381 120,679,144 60,339,572 30,169,786 15,084,893 45,254,680 22,627,340 11,313,670 5,656,835 16,970,506 8,485,253 25,455,760 12,727,880 6,363,940 3,181,970 1,590,985 4,772,956 2,386,478 1,193,239 3,579,718 1,789,859 5,369,578 2,684,789 8,054,368 4,027,184 2,013,592 1,006,796 503,398 251,699 755,098 377,549 1,132,648 566,324 283,162 141,581 424,744 212,372 106,186 53,093

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