λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,000,285

3,000,285

32 × 5 × 61 × 1093
Deficient Odd Composite

3,000,285 factors as 3^2 × 5 × 61 × 1093. Its 24 positive divisors give a proper-divisor sum of 2,290,299, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 61 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,290,584
Proper Divisor Sum 2,290,299
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3000251 ← → #3000289

Radix Representation

Decimal 3000285
Binary 1011011100011111011101 (22 bits)
Octal 0o13343735
Hexadecimal 0x2DC7DD

Divisor Catalog (24)

1 3 5 9 15 45 61 183 305 549 915 1,093 2,745 3,279 5,465 9,837 16,395 49,185 66,673 200,019 333,365 600,057 1,000,095 3,000,285

Collatz Trajectory (138 steps to reach 1)

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

3,000,285 9,000,856 4,500,428 2,250,214 1,125,107 3,375,322 1,687,661 5,062,984 2,531,492 1,265,746 632,873 1,898,620 949,310 474,655 1,423,966 711,983 2,135,950 1,067,975 3,203,926 1,601,963 4,805,890 2,402,945 7,208,836 3,604,418 1,802,209 5,406,628 2,703,314 1,351,657 4,054,972 2,027,486 1,013,743 3,041,230 1,520,615 4,561,846 2,280,923 6,842,770 3,421,385 10,264,156 5,132,078 2,566,039 7,698,118 3,849,059 11,547,178 5,773,589 17,320,768 8,660,384 4,330,192 2,165,096 1,082,548 541,274 270,637 811,912 405,956 202,978 101,489 304,468 152,234 76,117 228,352 114,176

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,000,284 Browse Full Index Next Integer #3,000,286 →