λ
Sigma Notebook

6,205,032

23 × 33 × 23 × 1249
Abundant Even Composite

6,205,032 is even and not a perfect square. Its factorization is 2^3 × 3^3 × 23 × 1249 and its 64 divisors sum to 18,000,000.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 23 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,000,000
Proper Divisor Sum 11,794,968
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6205021 ← → #6205033

Radix Representation

Decimal 6205032
Binary 10111101010111001101000 (23 bits)
Octal 0o27527150
Hexadecimal 0x5EAE68

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1,242 1,249 1,656 2,484 2,498 3,747 4,968 4,996 7,494 9,992 11,241 14,988 22,482 28,727 29,976 33,723 44,964 57,454 67,446 86,181 89,928 114,908 134,892 172,362 229,816 258,543 269,784 344,724 517,086 689,448 775,629 1,034,172

Collatz Trajectory (77 steps to reach 1)

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

6,205,032 3,102,516 1,551,258 775,629 2,326,888 1,163,444 581,722 290,861 872,584 436,292 218,146 109,073 327,220 163,610 81,805 245,416 122,708 61,354 30,677 92,032 46,016 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

More profiles

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