807,898

2 × 7 × 13 × 23 × 193

807,898 factors as 2 × 7 × 13 × 23 × 193. Its 32 positive divisors give a proper-divisor sum of 756,518, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 23 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,564,416

Proper Divisor Sum 756,518

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #807871 ← → #807901

Radix Representation

Decimal	807898
Binary	11000101001111011010 (20 bits)
Octal	0o3051732
Hexadecimal	0xC53DA

Divisor Catalog (32)

Collatz Trajectory (113 steps to reach 1)

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

807,898 403,949 1,211,848 605,924 302,962 151,481 454,444 227,222 113,611 340,834 170,417 511,252 255,626 127,813 383,440 191,720 95,860 47,930 23,965 71,896 35,948 17,974 8,987 26,962 13,481 40,444 20,222 10,111 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752

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