λ
Prime Ledger

222,226

2 × 23 × 4831
Deficient Even Composite

222,226 has the prime decomposition 2 × 23 × 4831. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 4831
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 347,904
Proper Divisor Sum 125,678
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #222199 ← → #222247

Radix Representation

Decimal 222226
Binary 110110010000010010 (18 bits)
Octal 0o662022
Hexadecimal 0x36412

Divisor Catalog (8)

1 2 23 46 4,831 9,662 111,113 222,226

Collatz Trajectory (111 steps to reach 1)

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

222,226 111,113 333,340 166,670 83,335 250,006 125,003 375,010 187,505 562,516 281,258 140,629 421,888 210,944 105,472 52,736 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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