174,886

2 × 87443

Starting at 174,886, the Collatz iteration reaches 1 after 121 steps. The first transition is 87443; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 87443

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 262,332

Proper Divisor Sum 87,446

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #174877 ← → #174893

Radix Representation

Decimal	174886
Binary	101010101100100110 (18 bits)
Octal	0o525446
Hexadecimal	0x2AB26

Divisor Catalog (4)

1 2 87,443 174,886

Collatz Trajectory (121 steps to reach 1)

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

174,886 87,443 262,330 131,165 393,496 196,748 98,374 49,187 147,562 73,781 221,344 110,672 55,336 27,668 13,834 6,917 20,752 10,376 5,188 2,594 1,297 3,892 1,946 973 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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