λ
Prime Ledger

5,395,684

22 × 72 × 27529
Abundant Even Composite

5,395,684 has the prime decomposition 2^2 × 7^2 × 27529. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 27529
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 10,984,470
Proper Divisor Sum 5,588,786
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5395679 ← → #5395693

Radix Representation

Decimal 5395684
Binary 10100100101010011100100 (23 bits)
Octal 0o24452344
Hexadecimal 0x5254E4

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 27,529 55,058 110,116 192,703 385,406 770,812 1,348,921 2,697,842 5,395,684

Collatz Trajectory (188 steps to reach 1)

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

5,395,684 2,697,842 1,348,921 4,046,764 2,023,382 1,011,691 3,035,074 1,517,537 4,552,612 2,276,306 1,138,153 3,414,460 1,707,230 853,615 2,560,846 1,280,423 3,841,270 1,920,635 5,761,906 2,880,953 8,642,860 4,321,430 2,160,715 6,482,146 3,241,073 9,723,220 4,861,610 2,430,805 7,292,416 3,646,208 1,823,104 911,552 455,776 227,888 113,944 56,972 28,486 14,243 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710

More profiles

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