λ
Prime Ledger

2,704,724

22 × 11 × 61471
Deficient Even Composite

2,704,724 has the prime decomposition 2^2 × 11 × 61471. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 61471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,163,648
Proper Divisor Sum 2,458,924
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2704711 ← → #2704733

Radix Representation

Decimal 2704724
Binary 1010010100010101010100 (22 bits)
Octal 0o12242524
Hexadecimal 0x294554

Divisor Catalog (12)

1 2 4 11 22 44 61,471 122,942 245,884 676,181 1,352,362 2,704,724

Collatz Trajectory (112 steps to reach 1)

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

2,704,724 1,352,362 676,181 2,028,544 1,014,272 507,136 253,568 126,784 63,392 31,696 15,848 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 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478

More profiles

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