λ
Math Directory

222,121

151 × 1471
Deficient Odd Composite

222,121 factors as 151 × 1471. Its 4 positive divisors give a proper-divisor sum of 1,623, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 151 × 1471
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 223,744
Proper Divisor Sum 1,623
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #222113 ← → #222127

Radix Representation

Decimal 222121
Binary 110110001110101001 (18 bits)
Octal 0o661651
Hexadecimal 0x363A9

Divisor Catalog (4)

1 151 1,471 222,121

Collatz Trajectory (168 steps to reach 1)

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

222,121 666,364 333,182 166,591 499,774 249,887 749,662 374,831 1,124,494 562,247 1,686,742 843,371 2,530,114 1,265,057 3,795,172 1,897,586 948,793 2,846,380 1,423,190 711,595 2,134,786 1,067,393 3,202,180 1,601,090 800,545 2,401,636 1,200,818 600,409 1,801,228 900,614 450,307 1,350,922 675,461 2,026,384 1,013,192 506,596 253,298 126,649 379,948 189,974 94,987 284,962 142,481 427,444 213,722 106,861 320,584 160,292 80,146 40,073 120,220 60,110 30,055 90,166 45,083 135,250 67,625 202,876 101,438 50,719

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