540,990

2 × 3² × 5 × 6011

540,990 has the prime decomposition 2 × 3^2 × 5 × 6011. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 6011

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,406,808

Proper Divisor Sum 865,818

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #540989 ← → #541001

Radix Representation

Decimal	540990
Binary	10000100000100111110 (20 bits)
Octal	0o2040476
Hexadecimal	0x8413E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 6,011 12,022 18,033 30,055 36,066 54,099 60,110 90,165 108,198 180,330 270,495 540,990

Collatz Trajectory (177 steps to reach 1)

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

540,990 270,495 811,486 405,743 1,217,230 608,615 1,825,846 912,923 2,738,770 1,369,385 4,108,156 2,054,078 1,027,039 3,081,118 1,540,559 4,621,678 2,310,839 6,932,518 3,466,259 10,398,778 5,199,389 15,598,168 7,799,084 3,899,542 1,949,771 5,849,314 2,924,657 8,773,972 4,386,986 2,193,493 6,580,480 3,290,240 1,645,120 822,560 411,280 205,640 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590

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