λ
Prime Ledger

3,027,271

13 × 337 × 691
Deficient Odd Composite

3,027,271 has the prime decomposition 13 × 337 × 691. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 337 × 691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,274,544
Proper Divisor Sum 247,273
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3027263 ← → #3027287

Radix Representation

Decimal 3027271
Binary 1011100011000101000111 (22 bits)
Octal 0o13430507
Hexadecimal 0x2E3147

Divisor Catalog (8)

1 13 337 691 4,381 8,983 232,867 3,027,271

Collatz Trajectory (120 steps to reach 1)

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

3,027,271 9,081,814 4,540,907 13,622,722 6,811,361 20,434,084 10,217,042 5,108,521 15,325,564 7,662,782 3,831,391 11,494,174 5,747,087 17,241,262 8,620,631 25,861,894 12,930,947 38,792,842 19,396,421 58,189,264 29,094,632 14,547,316 7,273,658 3,636,829 10,910,488 5,455,244 2,727,622 1,363,811 4,091,434 2,045,717 6,137,152 3,068,576 1,534,288 767,144 383,572 191,786 95,893 287,680 143,840 71,920 35,960 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202

More profiles

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