189,138

2 × 3 × 29 × 1087

Starting at 189,138, the Collatz iteration reaches 1 after 103 steps. The first transition is 94569; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 391,680

Proper Divisor Sum 202,542

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #189127 ← → #189139

Radix Representation

Decimal	189138
Binary	101110001011010010 (18 bits)
Octal	0o561322
Hexadecimal	0x2E2D2

Divisor Catalog (16)

1 2 3 6 29 58 87 174 1,087 2,174 3,261 6,522 31,523 63,046 94,569 189,138

Collatz Trajectory (103 steps to reach 1)

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

189,138 94,569 283,708 141,854 70,927 212,782 106,391 319,174 159,587 478,762 239,381 718,144 359,072 179,536 89,768 44,884 22,442 11,221 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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