28,194

2 × 3 × 37 × 127

Starting at 28,194, the Collatz iteration reaches 1 after 108 steps. The first transition is 14097; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,368

Proper Divisor Sum 30,174

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #28183 ← → #28201

Radix Representation

Decimal	28194
Binary	110111000100010 (15 bits)
Octal	0o67042
Hexadecimal	0x6E22

Divisor Catalog (16)

1 2 3 6 37 74 111 127 222 254 381 762 4,699 9,398 14,097 28,194

Collatz Trajectory (108 steps to reach 1)

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

28,194 14,097 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078

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