97,254

2 × 3³ × 1801

Starting at 97,254, the Collatz iteration reaches 1 after 66 steps. The first transition is 48627; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 1801

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 216,240

Proper Divisor Sum 118,986

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #97241 ← → #97259

Radix Representation

Decimal	97254
Binary	10111101111100110 (17 bits)
Octal	0o275746
Hexadecimal	0x17BE6

Divisor Catalog (16)

1 2 3 6 9 18 27 54 1,801 3,602 5,403 10,806 16,209 32,418 48,627 97,254

Collatz Trajectory (66 steps to reach 1)

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

97,254 48,627 145,882 72,941 218,824 109,412 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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