824,366

2 × 23 × 17921

824,366 factors as 2 × 23 × 17921. Its 8 positive divisors give a proper-divisor sum of 466,018, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 23 × 17921

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,290,384

Proper Divisor Sum 466,018

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #824339 ← → #824393

Radix Representation

Decimal	824366
Binary	11001001010000101110 (20 bits)
Octal	0o3112056
Hexadecimal	0xC942E

Divisor Catalog (8)

1 2 23 46 17,921 35,842 412,183 824,366

Collatz Trajectory (206 steps to reach 1)

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

824,366 412,183 1,236,550 618,275 1,854,826 927,413 2,782,240 1,391,120 695,560 347,780 173,890 86,945 260,836 130,418 65,209 195,628 97,814 48,907 146,722 73,361 220,084 110,042 55,021 165,064 82,532 41,266 20,633 61,900 30,950 15,475 46,426 23,213 69,640 34,820 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236

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