825,522

2 × 3 × 137587

825,522 factors as 2 × 3 × 137587. Its 8 positive divisors give a proper-divisor sum of 825,534, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 3 × 137587

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,651,056

Proper Divisor Sum 825,534

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #825509 ← → #825527

Radix Representation

Decimal	825522
Binary	11001001100010110010 (20 bits)
Octal	0o3114262
Hexadecimal	0xC98B2

Divisor Catalog (8)

1 2 3 6 137,587 275,174 412,761 825,522

Collatz Trajectory (206 steps to reach 1)

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

825,522 412,761 1,238,284 619,142 309,571 928,714 464,357 1,393,072 696,536 348,268 174,134 87,067 261,202 130,601 391,804 195,902 97,951 293,854 146,927 440,782 220,391 661,174 330,587 991,762 495,881 1,487,644 743,822 371,911 1,115,734 557,867 1,673,602 836,801 2,510,404 1,255,202 627,601 1,882,804 941,402 470,701 1,412,104 706,052 353,026 176,513 529,540 264,770 132,385 397,156 198,578 99,289 297,868 148,934 74,467 223,402 111,701 335,104 167,552 83,776 41,888 20,944 10,472 5,236

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