λ
Sequence Observatory

22,213

97 × 229
Deficient Odd Composite

Starting at 22,213, the Collatz iteration reaches 1 after 131 steps. The first transition is 66640; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 97 × 229
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 22,540
Proper Divisor Sum 327
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #22193 ← → #22229

Radix Representation

Decimal 22213
Binary 101011011000101 (15 bits)
Octal 0o53305
Hexadecimal 0x56C5

Divisor Catalog (4)

1 97 229 22,213

Collatz Trajectory (131 steps to reach 1)

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

22,213 66,640 33,320 16,660 8,330 4,165 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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