174,978

2 × 3² × 9721

Starting at 174,978, the Collatz iteration reaches 1 after 121 steps. The first transition is 87489; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 9721

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 379,158

Proper Divisor Sum 204,180

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #174959 ← → #174989

Radix Representation

Decimal	174978
Binary	101010101110000010 (18 bits)
Octal	0o525602
Hexadecimal	0x2AB82

Divisor Catalog (12)

1 2 3 6 9 18 9,721 19,442 29,163 58,326 87,489 174,978

Collatz Trajectory (121 steps to reach 1)

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

174,978 87,489 262,468 131,234 65,617 196,852 98,426 49,213 147,640 73,820 36,910 18,455 55,366 27,683 83,050 41,525 124,576 62,288 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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