801,741

3 × 179 × 1493

801,741 factors as 3 × 179 × 1493. Its 8 positive divisors give a proper-divisor sum of 273,939, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 3 × 179 × 1493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,075,680

Proper Divisor Sum 273,939

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #801733 ← → #801761

Radix Representation

Decimal	801741
Binary	11000011101111001101 (20 bits)
Octal	0o3035715
Hexadecimal	0xC3BCD

Divisor Catalog (8)

1 3 179 537 1,493 4,479 267,247 801,741

Collatz Trajectory (69 steps to reach 1)

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

801,741 2,405,224 1,202,612 601,306 300,653 901,960 450,980 225,490 112,745 338,236 169,118 84,559 253,678 126,839 380,518 190,259 570,778 285,389 856,168 428,084 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 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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