λ
Modular Archive

300,080

24 × 5 × 112 × 31
Abundant Even Composite

The decimal integer 300,080 is 1001001010000110000 in binary (19 bits), 1112060 in octal and 49430 in hexadecimal. Its digit sum is 11.

Prime Factor Structure

Factorization String 2^4 × 5 × 11^2 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 791,616
Proper Divisor Sum 491,536
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #300073 ← → #300089

Radix Representation

Decimal 300080
Binary 1001001010000110000 (19 bits)
Octal 0o1112060
Hexadecimal 0x49430

Divisor Catalog (60)

1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 121 124 155 176 220 242 248 310 341 440 484 496 605 620 682 880 968 1,210 1,240 1,364 1,705 1,936 2,420 2,480 2,728 3,410 3,751 4,840 5,456 6,820 7,502 9,680 13,640 15,004 18,755 27,280 30,008 37,510 60,016 75,020 150,040 300,080

Collatz Trajectory (114 steps to reach 1)

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

300,080 150,040 75,020 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319

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