1,200,829

7 × 17 × 10091

1,200,829 factors as 7 × 17 × 10091. Its 8 positive divisors give a proper-divisor sum of 252,419, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 7 × 17 × 10091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,453,248

Proper Divisor Sum 252,419

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1200811 ← → #1200833

Radix Representation

Decimal	1200829
Binary	100100101001010111101 (21 bits)
Octal	0o4451275
Hexadecimal	0x1252BD

Divisor Catalog (8)

1 7 17 119 10,091 70,637 171,547 1,200,829

Collatz Trajectory (142 steps to reach 1)

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

1,200,829 3,602,488 1,801,244 900,622 450,311 1,350,934 675,467 2,026,402 1,013,201 3,039,604 1,519,802 759,901 2,279,704 1,139,852 569,926 284,963 854,890 427,445 1,282,336 641,168 320,584 160,292 80,146 40,073 120,220 60,110 30,055 90,166 45,083 135,250 67,625 202,876 101,438 50,719 152,158 76,079 228,238 114,119 342,358 171,179 513,538 256,769 770,308 385,154 192,577 577,732 288,866 144,433 433,300 216,650 108,325 324,976 162,488 81,244 40,622 20,311 60,934 30,467 91,402 45,701

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