117,220

2² × 5 × 5861

Starting at 117,220, the Collatz iteration reaches 1 after 48 steps. The first transition is 58610; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 5861

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 246,204

Proper Divisor Sum 128,984

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #117209 ← → #117223

Radix Representation

Decimal	117220
Binary	11100100111100100 (17 bits)
Octal	0o344744
Hexadecimal	0x1C9E4

Divisor Catalog (12)

1 2 4 5 10 20 5,861 11,722 23,444 29,305 58,610 117,220

Collatz Trajectory (48 steps to reach 1)

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

117,220 58,610 29,305 87,916 43,958 21,979 65,938 32,969 98,908 49,454 24,727 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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