λ
Prime Ledger

3,000,593

139 × 21587
Deficient Odd Composite

3,000,593 has the prime decomposition 139 × 21587. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 139 × 21587
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,022,320
Proper Divisor Sum 21,727
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3000553 ← → #3000607

Radix Representation

Decimal 3000593
Binary 1011011100100100010001 (22 bits)
Octal 0o13344421
Hexadecimal 0x2DC911

Divisor Catalog (4)

1 139 21,587 3,000,593

Collatz Trajectory (138 steps to reach 1)

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

3,000,593 9,001,780 4,500,890 2,250,445 6,751,336 3,375,668 1,687,834 843,917 2,531,752 1,265,876 632,938 316,469 949,408 474,704 237,352 118,676 59,338 29,669 89,008 44,504 22,252 11,126 5,563 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

More profiles

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