λ
Prime Ledger

4,422,308

22 × 112 × 9137
Deficient Even Composite

4,422,308 has the prime decomposition 2^2 × 11^2 × 9137. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 9137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 8,507,478
Proper Divisor Sum 4,085,170
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4422289 ← → #4422311

Radix Representation

Decimal 4422308
Binary 10000110111101010100100 (23 bits)
Octal 0o20675244
Hexadecimal 0x437AA4

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 9,137 18,274 36,548 100,507 201,014 402,028 1,105,577 2,211,154 4,422,308

Collatz Trajectory (118 steps to reach 1)

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

4,422,308 2,211,154 1,105,577 3,316,732 1,658,366 829,183 2,487,550 1,243,775 3,731,326 1,865,663 5,596,990 2,798,495 8,395,486 4,197,743 12,593,230 6,296,615 18,889,846 9,444,923 28,334,770 14,167,385 42,502,156 21,251,078 10,625,539 31,876,618 15,938,309 47,814,928 23,907,464 11,953,732 5,976,866 2,988,433 8,965,300 4,482,650 2,241,325 6,723,976 3,361,988 1,680,994 840,497 2,521,492 1,260,746 630,373 1,891,120 945,560 472,780 236,390 118,195 354,586 177,293 531,880 265,940 132,970 66,485 199,456 99,728 49,864 24,932 12,466 6,233 18,700 9,350 4,675

More profiles

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