λ
Prime Ledger

2,998,011

3 × 233 × 4289
Deficient Odd Composite

2,998,011 has the prime decomposition 3 × 233 × 4289. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 233 × 4289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,015,440
Proper Divisor Sum 1,017,429
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2998007 ← → #2998013

Radix Representation

Decimal 2998011
Binary 1011011011111011111011 (22 bits)
Octal 0o13337373
Hexadecimal 0x2DBEFB

Divisor Catalog (8)

1 3 233 699 4,289 12,867 999,337 2,998,011

Collatz Trajectory (182 steps to reach 1)

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

2,998,011 8,994,034 4,497,017 13,491,052 6,745,526 3,372,763 10,118,290 5,059,145 15,177,436 7,588,718 3,794,359 11,383,078 5,691,539 17,074,618 8,537,309 25,611,928 12,805,964 6,402,982 3,201,491 9,604,474 4,802,237 14,406,712 7,203,356 3,601,678 1,800,839 5,402,518 2,701,259 8,103,778 4,051,889 12,155,668 6,077,834 3,038,917 9,116,752 4,558,376 2,279,188 1,139,594 569,797 1,709,392 854,696 427,348 213,674 106,837 320,512 160,256 80,128 40,064 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530

More profiles

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