422,198

2 × 7 × 53 × 569

422,198 is even and not a perfect square. Its factorization is 2 × 7 × 53 × 569 and its 16 divisors sum to 738,720.

Prime Factor Structure

Factorization String 2 × 7 × 53 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 738,720

Proper Divisor Sum 316,522

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #422183 ← → #422203

Radix Representation

Decimal	422198
Binary	1100111000100110110 (19 bits)
Octal	0o1470466
Hexadecimal	0x67136

Divisor Catalog (16)

1 2 7 14 53 106 371 569 742 1,138 3,983 7,966 30,157 60,314 211,099 422,198

Collatz Trajectory (86 steps to reach 1)

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

422,198 211,099 633,298 316,649 949,948 474,974 237,487 712,462 356,231 1,068,694 534,347 1,603,042 801,521 2,404,564 1,202,282 601,141 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072

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