λ
Sequence Observatory

5,560,317

32 × 7 × 88259
Deficient Odd Composite

Starting at 5,560,317, the Collatz iteration reaches 1 after 214 steps. The first transition is 16680952; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 88259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,179,040
Proper Divisor Sum 3,618,723
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5560301 ← → #5560327

Radix Representation

Decimal 5560317
Binary 10101001101011111111101 (23 bits)
Octal 0o25153775
Hexadecimal 0x54D7FD

Divisor Catalog (12)

1 3 7 9 21 63 88,259 264,777 617,813 794,331 1,853,439 5,560,317

Collatz Trajectory (214 steps to reach 1)

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

5,560,317 16,680,952 8,340,476 4,170,238 2,085,119 6,255,358 3,127,679 9,383,038 4,691,519 14,074,558 7,037,279 21,111,838 10,555,919 31,667,758 15,833,879 47,501,638 23,750,819 71,252,458 35,626,229 106,878,688 53,439,344 26,719,672 13,359,836 6,679,918 3,339,959 10,019,878 5,009,939 15,029,818 7,514,909 22,544,728 11,272,364 5,636,182 2,818,091 8,454,274 4,227,137 12,681,412 6,340,706 3,170,353 9,511,060 4,755,530 2,377,765 7,133,296 3,566,648 1,783,324 891,662 445,831 1,337,494 668,747 2,006,242 1,003,121 3,009,364 1,504,682 752,341 2,257,024 1,128,512 564,256 282,128 141,064 70,532 35,266

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