λ
Sigma Notebook

2,740,239

32 × 29 × 10499
Deficient Odd Composite

2,740,239 is odd and not a perfect square. Its factorization is 3^2 × 29 × 10499 and its 12 divisors sum to 4,095,000.

Prime Factor Structure

Factorization String 3^2 × 29 × 10499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,095,000
Proper Divisor Sum 1,354,761
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2740223 ← → #2740249

Radix Representation

Decimal 2740239
Binary 1010011101000000001111 (22 bits)
Octal 0o12350017
Hexadecimal 0x29D00F

Divisor Catalog (12)

1 3 9 29 87 261 10,499 31,497 94,491 304,471 913,413 2,740,239

Collatz Trajectory (200 steps to reach 1)

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

2,740,239 8,220,718 4,110,359 12,331,078 6,165,539 18,496,618 9,248,309 27,744,928 13,872,464 6,936,232 3,468,116 1,734,058 867,029 2,601,088 1,300,544 650,272 325,136 162,568 81,284 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386

More profiles

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