300,196

2² × 13 × 23 × 251

Starting at 300,196, the Collatz iteration reaches 1 after 88 steps. The first transition is 150098; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 592,704

Proper Divisor Sum 292,508

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #300193 ← → #300221

Radix Representation

Decimal	300196
Binary	1001001010010100100 (19 bits)
Octal	0o1112244
Hexadecimal	0x494A4

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 251 299 502 598 1,004 1,196 3,263 5,773 6,526 11,546 13,052 23,092 75,049 150,098 300,196

Collatz Trajectory (88 steps to reach 1)

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

300,196 150,098 75,049 225,148 112,574 56,287 168,862 84,431 253,294 126,647 379,942 189,971 569,914 284,957 854,872 427,436 213,718 106,859 320,578 160,289 480,868 240,434 120,217 360,652 180,326 90,163 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907

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