6,018,300

2² × 3⁴ × 5² × 743

6,018,300 has the prime decomposition 2^2 × 3^4 × 5^2 × 743. Its 4 distinct prime factors produce 90 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5^2 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 19,535,208

Proper Divisor Sum 13,516,908

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6018293 ← → #6018301

Radix Representation

Decimal	6018300
Binary	10110111101010011111100 (23 bits)
Octal	0o26752374
Hexadecimal	0x5BD4FC

Divisor Catalog (60 of 90)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 743 810 900 1,350 1,486 1,620 2,025 2,229 2,700 2,972 3,715 4,050 4,458 6,687 7,430 8,100 8,916 11,145 13,374 14,860 18,575 20,061 22,290

Collatz Trajectory (183 steps to reach 1)

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

6,018,300 3,009,150 1,504,575 4,513,726 2,256,863 6,770,590 3,385,295 10,155,886 5,077,943 15,233,830 7,616,915 22,850,746 11,425,373 34,276,120 17,138,060 8,569,030 4,284,515 12,853,546 6,426,773 19,280,320 9,640,160 4,820,080 2,410,040 1,205,020 602,510 301,255 903,766 451,883 1,355,650 677,825 2,033,476 1,016,738 508,369 1,525,108 762,554 381,277 1,143,832 571,916 285,958 142,979 428,938 214,469 643,408 321,704 160,852 80,426 40,213 120,640 60,320 30,160 15,080 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061

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