λ
Prime Ledger

2,711,001

3 × 73 × 12379
Deficient Odd Composite

2,711,001 has the prime decomposition 3 × 73 × 12379. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 73 × 12379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,664,480
Proper Divisor Sum 953,479
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2710997 ← → #2711017

Radix Representation

Decimal 2711001
Binary 1010010101110111011001 (22 bits)
Octal 0o12256731
Hexadecimal 0x295DD9

Divisor Catalog (8)

1 3 73 219 12,379 37,137 903,667 2,711,001

Collatz Trajectory (138 steps to reach 1)

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

2,711,001 8,133,004 4,066,502 2,033,251 6,099,754 3,049,877 9,149,632 4,574,816 2,287,408 1,143,704 571,852 285,926 142,963 428,890 214,445 643,336 321,668 160,834 80,417 241,252 120,626 60,313 180,940 90,470 45,235 135,706 67,853 203,560 101,780 50,890 25,445 76,336 38,168 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224

More profiles

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