λ
Ratio Atlas

6,150,300

22 × 3 × 52 × 13 × 19 × 83
Abundant Even Composite

6,150,300 factors as 2^2 × 3 × 5^2 × 13 × 19 × 83. Its 144 positive divisors give a proper-divisor sum of 14,265,060, so this integer is abundant. The Collatz stopping time is 183 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 13 × 19 × 83
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 20,415,360
Proper Divisor Sum 14,265,060
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6150299 ← → #6150301

Radix Representation

Decimal 6150300
Binary 10111011101100010011100 (23 bits)
Octal 0o27354234
Hexadecimal 0x5DD89C

Divisor Catalog (5 of 144)

1 2 3 4 5

Collatz Trajectory (183 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

6,150,300 3,075,150 1,537,575 4,612,726 2,306,363

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