199,177

11 × 19 × 953

Starting at 199,177, the Collatz iteration reaches 1 after 142 steps. The first transition is 597532; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 19 × 953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 228,960

Proper Divisor Sum 29,783

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #199153 ← → #199181

Radix Representation

Decimal	199177
Binary	110000101000001001 (18 bits)
Octal	0o605011
Hexadecimal	0x30A09

Divisor Catalog (8)

1 11 19 209 953 10,483 18,107 199,177

Collatz Trajectory (142 steps to reach 1)

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

199,177 597,532 298,766 149,383 448,150 224,075 672,226 336,113 1,008,340 504,170 252,085 756,256 378,128 189,064 94,532 47,266 23,633 70,900 35,450 17,725 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502

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