λ
Sigma Notebook

3,329,540

22 × 5 × 277 × 601
Abundant Even Composite

3,329,540 is even and not a perfect square. Its factorization is 2^2 × 5 × 277 × 601 and its 24 divisors sum to 7,028,952.

Prime Factor Structure

Factorization String 2^2 × 5 × 277 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,028,952
Proper Divisor Sum 3,699,412
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3329539 ← → #3329551

Radix Representation

Decimal 3329540
Binary 1100101100111000000100 (22 bits)
Octal 0o14547004
Hexadecimal 0x32CE04

Divisor Catalog (24)

1 2 4 5 10 20 277 554 601 1,108 1,202 1,385 2,404 2,770 3,005 5,540 6,010 12,020 166,477 332,954 665,908 832,385 1,664,770 3,329,540

Collatz Trajectory (177 steps to reach 1)

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

3,329,540 1,664,770 832,385 2,497,156 1,248,578 624,289 1,872,868 936,434 468,217 1,404,652 702,326 351,163 1,053,490 526,745 1,580,236 790,118 395,059 1,185,178 592,589 1,777,768 888,884 444,442 222,221 666,664 333,332 166,666 83,333 250,000 125,000 62,500 31,250 15,625 46,876 23,438 11,719 35,158 17,579 52,738 26,369 79,108 39,554 19,777 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

More profiles

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