8,201,599

7 × 17 × 41³

8,201,599 factors as 7 × 17 × 41^3. Its 16 positive divisors give a proper-divisor sum of 1,971,137, so this integer is deficient. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 7 × 17 × 41^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,172,736

Proper Divisor Sum 1,971,137

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8201587 ← → #8201603

Radix Representation

Decimal	8201599
Binary	11111010010010101111111 (23 bits)
Octal	0o37222577
Hexadecimal	0x7D257F

Divisor Catalog (16)

1 7 17 41 119 287 697 1,681 4,879 11,767 28,577 68,921 200,039 482,447 1,171,657 8,201,599

Collatz Trajectory (336 steps to reach 1)

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

8,201,599 24,604,798 12,302,399 36,907,198 18,453,599 55,360,798 27,680,399 83,041,198 41,520,599 124,561,798 62,280,899 186,842,698 93,421,349 280,264,048 140,132,024 70,066,012 35,033,006 17,516,503 52,549,510 26,274,755 78,824,266 39,412,133 118,236,400 59,118,200 29,559,100 14,779,550 7,389,775 22,169,326 11,084,663 33,253,990 16,626,995 49,880,986 24,940,493 74,821,480 37,410,740 18,705,370 9,352,685 28,058,056 14,029,028 7,014,514 3,507,257 10,521,772 5,260,886 2,630,443 7,891,330 3,945,665 11,836,996 5,918,498 2,959,249 8,877,748 4,438,874 2,219,437 6,658,312 3,329,156 1,664,578 832,289 2,496,868 1,248,434 624,217 1,872,652

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