527,183

23 × 22921

Starting at 527,183, the Collatz iteration reaches 1 after 107 steps. The first transition is 1581550; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 22921

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 550,128

Proper Divisor Sum 22,945

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #527179 ← → #527203

Radix Representation

Decimal	527183
Binary	10000000101101001111 (20 bits)
Octal	0o2005517
Hexadecimal	0x80B4F

Divisor Catalog (4)

1 23 22,921 527,183

Collatz Trajectory (107 steps to reach 1)

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

527,183 1,581,550 790,775 2,372,326 1,186,163 3,558,490 1,779,245 5,337,736 2,668,868 1,334,434 667,217 2,001,652 1,000,826 500,413 1,501,240 750,620 375,310 187,655 562,966 281,483 844,450 422,225 1,266,676 633,338 316,669 950,008 475,004 237,502 118,751 356,254 178,127 534,382 267,191 801,574 400,787 1,202,362 601,181 1,803,544 901,772 450,886 225,443 676,330 338,165 1,014,496 507,248 253,624 126,812 63,406 31,703 95,110 47,555 142,666 71,333 214,000 107,000 53,500 26,750 13,375 40,126 20,063

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