λ
Modular Archive

1,200,732

22 × 3 × 13 × 43 × 179
Abundant Even Composite

The decimal integer 1,200,732 is 100100101001001011100 in binary (21 bits), 4451134 in octal and 12525C in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 43 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,104,640
Proper Divisor Sum 1,903,908
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1200701 ← → #1200739

Radix Representation

Decimal 1200732
Binary 100100101001001011100 (21 bits)
Octal 0o4451134
Hexadecimal 0x12525C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 179 258 358 516 537 559 716 1,074 1,118 1,677 2,148 2,236 2,327 3,354 4,654 6,708 6,981 7,697 9,308 13,962 15,394 23,091 27,924 30,788 46,182 92,364 100,061 200,122 300,183 400,244 600,366 1,200,732

Collatz Trajectory (116 steps to reach 1)

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

1,200,732 600,366 300,183 900,550 450,275 1,350,826 675,413 2,026,240 1,013,120 506,560 253,280 126,640 63,320 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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