4,225,157

79² × 677

Starting at 4,225,157, the Collatz iteration reaches 1 after 198 steps. The first transition is 12675472; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 79^2 × 677

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,285,638

Proper Divisor Sum 60,481

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4225147 ← → #4225171

Radix Representation

Decimal	4225157
Binary	10000000111100010000101 (23 bits)
Octal	0o20074205
Hexadecimal	0x407885

Divisor Catalog (6)

1 79 677 6,241 53,483 4,225,157

Collatz Trajectory (198 steps to reach 1)

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

4,225,157 12,675,472 6,337,736 3,168,868 1,584,434 792,217 2,376,652 1,188,326 594,163 1,782,490 891,245 2,673,736 1,336,868 668,434 334,217 1,002,652 501,326 250,663 751,990 375,995 1,127,986 563,993 1,691,980 845,990 422,995 1,268,986 634,493 1,903,480 951,740 475,870 237,935 713,806 356,903 1,070,710 535,355 1,606,066 803,033 2,409,100 1,204,550 602,275 1,806,826 903,413 2,710,240 1,355,120 677,560 338,780 169,390 84,695 254,086 127,043 381,130 190,565 571,696 285,848 142,924 71,462 35,731 107,194 53,597 160,792

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