825,909

3 × 7 × 67 × 587

825,909 factors as 3 × 7 × 67 × 587. Its 16 positive divisors give a proper-divisor sum of 453,579, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 3 × 7 × 67 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,279,488

Proper Divisor Sum 453,579

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #825889 ← → #825919

Radix Representation

Decimal	825909
Binary	11001001101000110101 (20 bits)
Octal	0o3115065
Hexadecimal	0xC9A35

Divisor Catalog (16)

1 3 7 21 67 201 469 587 1,407 1,761 4,109 12,327 39,329 117,987 275,303 825,909

Collatz Trajectory (175 steps to reach 1)

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

825,909 2,477,728 1,238,864 619,432 309,716 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874

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