λ
Ratio Atlas

17,580,287

17580287
Deficient Odd Prime

17,580,287 factors as 17580287. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 17580287
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 17,580,288
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17580281 ← → #17580307

Radix Representation

Decimal 17580287
Binary 1000011000100000011111111 (25 bits)
Octal 0o103040377
Hexadecimal 0x10C40FF

Divisor Catalog (2)

Collatz Trajectory (125 steps to reach 1)

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

17,580,287 52,740,862 26,370,431 79,111,294 39,555,647 118,666,942 59,333,471 178,000,414 89,000,207 267,000,622 133,500,311 400,500,934 200,250,467 600,751,402 300,375,701 901,127,104 450,563,552 225,281,776 112,640,888 56,320,444 28,160,222 14,080,111 42,240,334 21,120,167 63,360,502 31,680,251 95,040,754 47,520,377 142,561,132 71,280,566 35,640,283 106,920,850 53,460,425 160,381,276 80,190,638 40,095,319 120,285,958 60,142,979 180,428,938 90,214,469 270,643,408 135,321,704 67,660,852 33,830,426 16,915,213 50,745,640 25,372,820 12,686,410 6,343,205 19,029,616 9,514,808 4,757,404 2,378,702 1,189,351 3,568,054 1,784,027 5,352,082 2,676,041 8,028,124 4,014,062

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