80,017

7² × 23 × 71

80,017 factors as 7^2 × 23 × 71. Its 12 positive divisors give a proper-divisor sum of 18,479, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 7^2 × 23 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 98,496

Proper Divisor Sum 18,479

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #79999 ← → #80021

Radix Representation

Decimal	80017
Binary	10011100010010001 (17 bits)
Octal	0o234221
Hexadecimal	0x13891

Divisor Catalog (12)

1 7 23 49 71 161 497 1,127 1,633 3,479 11,431 80,017

Collatz Trajectory (94 steps to reach 1)

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

80,017 240,052 120,026 60,013 180,040 90,020 45,010 22,505 67,516 33,758 16,879 50,638 25,319 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046

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