λ
Prime Ledger

7,988,571

33 × 295873
Deficient Odd Composite

7,988,571 has the prime decomposition 3^3 × 295873. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 295873
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,834,960
Proper Divisor Sum 3,846,389
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7988557 ← → #7988573

Radix Representation

Decimal 7988571
Binary 11110011110010101011011 (23 bits)
Octal 0o36362533
Hexadecimal 0x79E55B

Divisor Catalog (8)

1 3 9 27 295,873 887,619 2,662,857 7,988,571

Collatz Trajectory (292 steps to reach 1)

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

7,988,571 23,965,714 11,982,857 35,948,572 17,974,286 8,987,143 26,961,430 13,480,715 40,442,146 20,221,073 60,663,220 30,331,610 15,165,805 45,497,416 22,748,708 11,374,354 5,687,177 17,061,532 8,530,766 4,265,383 12,796,150 6,398,075 19,194,226 9,597,113 28,791,340 14,395,670 7,197,835 21,593,506 10,796,753 32,390,260 16,195,130 8,097,565 24,292,696 12,146,348 6,073,174 3,036,587 9,109,762 4,554,881 13,664,644 6,832,322 3,416,161 10,248,484 5,124,242 2,562,121 7,686,364 3,843,182 1,921,591 5,764,774 2,882,387 8,647,162 4,323,581 12,970,744 6,485,372 3,242,686 1,621,343 4,864,030 2,432,015 7,296,046 3,648,023 10,944,070

More profiles

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