802,773

3² × 191 × 467

802,773 has the prime decomposition 3^2 × 191 × 467. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 191 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,168,128

Proper Divisor Sum 365,355

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #802759 ← → #802777

Radix Representation

Decimal	802773
Binary	11000011111111010101 (20 bits)
Octal	0o3037725
Hexadecimal	0xC3FD5

Divisor Catalog (12)

1 3 9 191 467 573 1,401 1,719 4,203 89,197 267,591 802,773

Collatz Trajectory (118 steps to reach 1)

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

802,773 2,408,320 1,204,160 602,080 301,040 150,520 75,260 37,630 18,815 56,446 28,223 84,670 42,335 127,006 63,503 190,510 95,255 285,766 142,883 428,650 214,325 642,976 321,488 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850

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