527,263

11 × 47933

Starting at 527,263, the Collatz iteration reaches 1 after 270 steps. The first transition is 1581790; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 47933

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 575,208

Proper Divisor Sum 47,945

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #527251 ← → #527273

Radix Representation

Decimal	527263
Binary	10000000101110011111 (20 bits)
Octal	0o2005637
Hexadecimal	0x80B9F

Divisor Catalog (4)

1 11 47,933 527,263

Collatz Trajectory (270 steps to reach 1)

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

527,263 1,581,790 790,895 2,372,686 1,186,343 3,559,030 1,779,515 5,338,546 2,669,273 8,007,820 4,003,910 2,001,955 6,005,866 3,002,933 9,008,800 4,504,400 2,252,200 1,126,100 563,050 281,525 844,576 422,288 211,144 105,572 52,786 26,393 79,180 39,590 19,795 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406

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