825,005

5 × 165001

825,005 factors as 5 × 165001. Its 4 positive divisors give a proper-divisor sum of 165,007, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 5 × 165001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 990,012

Proper Divisor Sum 165,007

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #825001 ← → #825007

Radix Representation

Decimal	825005
Binary	11001001011010101101 (20 bits)
Octal	0o3113255
Hexadecimal	0xC96AD

Divisor Catalog (4)

1 5 165,001 825,005

Collatz Trajectory (144 steps to reach 1)

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

825,005 2,475,016 1,237,508 618,754 309,377 928,132 464,066 232,033 696,100 348,050 174,025 522,076 261,038 130,519 391,558 195,779 587,338 293,669 881,008 440,504 220,252 110,126 55,063 165,190 82,595 247,786 123,893 371,680 185,840 92,920 46,460 23,230 11,615 34,846 17,423 52,270 26,135 78,406 39,203 117,610 58,805 176,416 88,208 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408

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