λ
Prime Ledger

6,201,588

22 × 3 × 449 × 1151
Abundant Even Composite

6,201,588 has the prime decomposition 2^2 × 3 × 449 × 1151. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 449 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,515,200
Proper Divisor Sum 8,313,612
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6201571 ← → #6201599

Radix Representation

Decimal 6201588
Binary 10111101010000011110100 (23 bits)
Octal 0o27520364
Hexadecimal 0x5EA0F4

Divisor Catalog (24)

1 2 3 4 6 12 449 898 1,151 1,347 1,796 2,302 2,694 3,453 4,604 5,388 6,906 13,812 516,799 1,033,598 1,550,397 2,067,196 3,100,794 6,201,588

Collatz Trajectory (196 steps to reach 1)

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

6,201,588 3,100,794 1,550,397 4,651,192 2,325,596 1,162,798 581,399 1,744,198 872,099 2,616,298 1,308,149 3,924,448 1,962,224 981,112 490,556 245,278 122,639 367,918 183,959 551,878 275,939 827,818 413,909 1,241,728 620,864 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194

More profiles

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