λ
Sequence Observatory

224,101

224101
Deficient Odd Prime

Starting at 224,101, the Collatz iteration reaches 1 after 36 steps. The first transition is 672304; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 224101
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 224,102
Proper Divisor Sum 1
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #224071 ← → #224113

Radix Representation

Decimal 224101
Binary 110110101101100101 (18 bits)
Octal 0o665545
Hexadecimal 0x36B65

Divisor Catalog (2)

1 224,101

Collatz Trajectory (36 steps to reach 1)

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

224,101 672,304 336,152 168,076 84,038 42,019 126,058 63,029 189,088 94,544 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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