3,000,271

19² × 8311

3,000,271 factors as 19^2 × 8311. Its 6 positive divisors give a proper-divisor sum of 166,601, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 19^2 × 8311

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,166,872

Proper Divisor Sum 166,601

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #3000251 ← → #3000289

Radix Representation

Decimal	3000271
Binary	1011011100011111001111 (22 bits)
Octal	0o13343717
Hexadecimal	0x2DC7CF

Divisor Catalog (6)

1 19 361 8,311 157,909 3,000,271

Collatz Trajectory (138 steps to reach 1)

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

3,000,271 9,000,814 4,500,407 13,501,222 6,750,611 20,251,834 10,125,917 30,377,752 15,188,876 7,594,438 3,797,219 11,391,658 5,695,829 17,087,488 8,543,744 4,271,872 2,135,936 1,067,968 533,984 266,992 133,496 66,748 33,374 16,687 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208

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