825,932

2² × 206483

825,932 factors as 2^2 × 206483. Its 6 positive divisors give a proper-divisor sum of 619,456, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^2 × 206483

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,445,388

Proper Divisor Sum 619,456

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #825919 ← → #825947

Radix Representation

Decimal	825932
Binary	11001001101001001100 (20 bits)
Octal	0o3115114
Hexadecimal	0xC9A4C

Divisor Catalog (6)

1 2 4 206,483 412,966 825,932

Collatz Trajectory (82 steps to reach 1)

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

825,932 412,966 206,483 619,450 309,725 929,176 464,588 232,294 116,147 348,442 174,221 522,664 261,332 130,666 65,333 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 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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