826,104

2³ × 3 × 34421

826,104 has digital root 3. The neighboring primes are 826097 and 826129; its proper-divisor sum differs from the starting integer by 413,112.

Prime Factor Structure

Factorization String 2^3 × 3 × 34421

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,065,320

Proper Divisor Sum 1,239,216

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #826097 ← → #826129

Radix Representation

Decimal	826104
Binary	11001001101011111000 (20 bits)
Octal	0o3115370
Hexadecimal	0xC9AF8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 34,421 68,842 103,263 137,684 206,526 275,368 413,052 826,104

Collatz Trajectory (82 steps to reach 1)

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

826,104 413,052 206,526 103,263 309,790 154,895 464,686 232,343 697,030 348,515 1,045,546 522,773 1,568,320 784,160 392,080 196,040 98,020 49,010 24,505 73,516 36,758 18,379 55,138 27,569 82,708 41,354 20,677 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

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