λ
Sigma Notebook

6,822,559

17 × 23 × 17449
Deficient Odd Composite

6,822,559 is odd and not a perfect square. Its factorization is 17 × 23 × 17449 and its 8 divisors sum to 7,538,400.

Prime Factor Structure

Factorization String 17 × 23 × 17449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,538,400
Proper Divisor Sum 715,841
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6822533 ← → #6822581

Radix Representation

Decimal 6822559
Binary 11010000001101010011111 (23 bits)
Octal 0o32015237
Hexadecimal 0x681A9F

Divisor Catalog (8)

1 17 23 391 17,449 296,633 401,327 6,822,559

Collatz Trajectory (209 steps to reach 1)

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

6,822,559 20,467,678 10,233,839 30,701,518 15,350,759 46,052,278 23,026,139 69,078,418 34,539,209 103,617,628 51,808,814 25,904,407 77,713,222 38,856,611 116,569,834 58,284,917 174,854,752 87,427,376 43,713,688 21,856,844 10,928,422 5,464,211 16,392,634 8,196,317 24,588,952 12,294,476 6,147,238 3,073,619 9,220,858 4,610,429 13,831,288 6,915,644 3,457,822 1,728,911 5,186,734 2,593,367 7,780,102 3,890,051 11,670,154 5,835,077 17,505,232 8,752,616 4,376,308 2,188,154 1,094,077 3,282,232 1,641,116 820,558 410,279 1,230,838 615,419 1,846,258 923,129 2,769,388 1,384,694 692,347 2,077,042 1,038,521 3,115,564 1,557,782

More profiles

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