804,111

3 × 7 × 11 × 59²

804,111 factors as 3 × 7 × 11 × 59^2. Its 24 positive divisors give a proper-divisor sum of 555,633, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 59^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,359,744

Proper Divisor Sum 555,633

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #804107 ← → #804113

Radix Representation

Decimal	804111
Binary	11000100010100001111 (20 bits)
Octal	0o3042417
Hexadecimal	0xC450F

Divisor Catalog (24)

Collatz Trajectory (144 steps to reach 1)

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

804,111 2,412,334 1,206,167 3,618,502 1,809,251 5,427,754 2,713,877 8,141,632 4,070,816 2,035,408 1,017,704 508,852 254,426 127,213 381,640 190,820 95,410 47,705 143,116 71,558 35,779 107,338 53,669 161,008 80,504 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617

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