982,225

5² × 101 × 389

982,225 factors as 5^2 × 101 × 389. Its 12 positive divisors give a proper-divisor sum of 250,955, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 5^2 × 101 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,233,180

Proper Divisor Sum 250,955

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #982217 ← → #982231

Radix Representation

Decimal	982225
Binary	11101111110011010001 (20 bits)
Octal	0o3576321
Hexadecimal	0xEFCD1

Divisor Catalog (12)

1 5 25 101 389 505 1,945 2,525 9,725 39,289 196,445 982,225

Collatz Trajectory (152 steps to reach 1)

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

982,225 2,946,676 1,473,338 736,669 2,210,008 1,105,004 552,502 276,251 828,754 414,377 1,243,132 621,566 310,783 932,350 466,175 1,398,526 699,263 2,097,790 1,048,895 3,146,686 1,573,343 4,720,030 2,360,015 7,080,046 3,540,023 10,620,070 5,310,035 15,930,106 7,965,053 23,895,160 11,947,580 5,973,790 2,986,895 8,960,686 4,480,343 13,441,030 6,720,515 20,161,546 10,080,773 30,242,320 15,121,160 7,560,580 3,780,290 1,890,145 5,670,436 2,835,218 1,417,609 4,252,828 2,126,414 1,063,207 3,189,622 1,594,811 4,784,434 2,392,217 7,176,652 3,588,326 1,794,163 5,382,490 2,691,245 8,073,736

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