λ
Ratio Atlas

8,257,189

17 × 485717
Deficient Odd Composite

8,257,189 factors as 17 × 485717. Its 4 positive divisors give a proper-divisor sum of 485,735, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 17 × 485717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,742,924
Proper Divisor Sum 485,735
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8257177 ← → #8257217

Radix Representation

Decimal 8257189
Binary 11111011111111010100101 (23 bits)
Octal 0o37377245
Hexadecimal 0x7DFEA5

Divisor Catalog (4)

1 17 485,717 8,257,189

Collatz Trajectory (173 steps to reach 1)

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

8,257,189 24,771,568 12,385,784 6,192,892 3,096,446 1,548,223 4,644,670 2,322,335 6,967,006 3,483,503 10,450,510 5,225,255 15,675,766 7,837,883 23,513,650 11,756,825 35,270,476 17,635,238 8,817,619 26,452,858 13,226,429 39,679,288 19,839,644 9,919,822 4,959,911 14,879,734 7,439,867 22,319,602 11,159,801 33,479,404 16,739,702 8,369,851 25,109,554 12,554,777 37,664,332 18,832,166 9,416,083 28,248,250 14,124,125 42,372,376 21,186,188 10,593,094 5,296,547 15,889,642 7,944,821 23,834,464 11,917,232 5,958,616 2,979,308 1,489,654 744,827 2,234,482 1,117,241 3,351,724 1,675,862 837,931 2,513,794 1,256,897 3,770,692 1,885,346

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