801,975

3 × 5² × 17² × 37

801,975 has the prime decomposition 3 × 5^2 × 17^2 × 37. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 17^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,446,584

Proper Divisor Sum 644,609

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #801973 ← → #801989

Radix Representation

Decimal	801975
Binary	11000011110010110111 (20 bits)
Octal	0o3036267
Hexadecimal	0xC3CB7

Divisor Catalog (36)

1 3 5 15 17 25 37 51 75 85 111 185 255 289 425 555 629 867 925 1,275 1,445 1,887 2,775 3,145 4,335 7,225 9,435 10,693 15,725 21,675 32,079 47,175 53,465 160,395 267,325 801,975

Collatz Trajectory (69 steps to reach 1)

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

801,975 2,405,926 1,202,963 3,608,890 1,804,445 5,413,336 2,706,668 1,353,334 676,667 2,030,002 1,015,001 3,045,004 1,522,502 761,251 2,283,754 1,141,877 3,425,632 1,712,816 856,408 428,204 214,102 107,051 321,154 160,577 481,732 240,866 120,433 361,300 180,650 90,325 270,976 135,488 67,744 33,872 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26

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