λ
Sequence Observatory

4,212,179

4212179
Deficient Odd Prime

Starting at 4,212,179, the Collatz iteration reaches 1 after 198 steps. The first transition is 12636538; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4212179
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,212,180
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4212161 ← → #4212181

Radix Representation

Decimal 4212179
Binary 10000000100010111010011 (23 bits)
Octal 0o20042723
Hexadecimal 0x4045D3

Divisor Catalog (2)

Collatz Trajectory (198 steps to reach 1)

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

4,212,179 12,636,538 6,318,269 18,954,808 9,477,404 4,738,702 2,369,351 7,108,054 3,554,027 10,662,082 5,331,041 15,993,124 7,996,562 3,998,281 11,994,844 5,997,422 2,998,711 8,996,134 4,498,067 13,494,202 6,747,101 20,241,304 10,120,652 5,060,326 2,530,163 7,590,490 3,795,245 11,385,736 5,692,868 2,846,434 1,423,217 4,269,652 2,134,826 1,067,413 3,202,240 1,601,120 800,560 400,280 200,140 100,070 50,035 150,106 75,053 225,160 112,580 56,290 28,145 84,436 42,218 21,109 63,328 31,664 15,832 7,916 3,958 1,979 5,938 2,969 8,908 4,454

More profiles

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