λ
Sigma Notebook

2,117,559

3 × 199 × 3547
Deficient Odd Composite

2,117,559 is odd and not a perfect square. Its factorization is 3 × 199 × 3547 and its 8 divisors sum to 2,838,400.

Prime Factor Structure

Factorization String 3 × 199 × 3547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,838,400
Proper Divisor Sum 720,841
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2117539 ← → #2117561

Radix Representation

Decimal 2117559
Binary 1000000100111110110111 (22 bits)
Octal 0o10047667
Hexadecimal 0x204FB7

Divisor Catalog (8)

1 3 199 597 3,547 10,641 705,853 2,117,559

Collatz Trajectory (153 steps to reach 1)

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

2,117,559 6,352,678 3,176,339 9,529,018 4,764,509 14,293,528 7,146,764 3,573,382 1,786,691 5,360,074 2,680,037 8,040,112 4,020,056 2,010,028 1,005,014 502,507 1,507,522 753,761 2,261,284 1,130,642 565,321 1,695,964 847,982 423,991 1,271,974 635,987 1,907,962 953,981 2,861,944 1,430,972 715,486 357,743 1,073,230 536,615 1,609,846 804,923 2,414,770 1,207,385 3,622,156 1,811,078 905,539 2,716,618 1,358,309 4,074,928 2,037,464 1,018,732 509,366 254,683 764,050 382,025 1,146,076 573,038 286,519 859,558 429,779 1,289,338 644,669 1,934,008 967,004 483,502

More profiles

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