804,104

2³ × 7 × 83 × 173

For 804,104, the 32 positive divisors have a total of 1,753,920. Removing 804,104 leaves 949,816, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 83 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,753,920

Proper Divisor Sum 949,816

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #804091 ← → #804107

Radix Representation

Decimal	804104
Binary	11000100010100001000 (20 bits)
Octal	0o3042410
Hexadecimal	0xC4508

Divisor Catalog (32)

1 2 4 7 8 14 28 56 83 166 173 332 346 581 664 692 1,162 1,211 1,384 2,324 2,422 4,648 4,844 9,688 14,359 28,718 57,436 100,513 114,872 201,026 402,052 804,104

Collatz Trajectory (144 steps to reach 1)

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

804,104 402,052 201,026 100,513 301,540 150,770 75,385 226,156 113,078 56,539 169,618 84,809 254,428 127,214 63,607 190,822 95,411 286,234 143,117 429,352 214,676 107,338 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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