198,431

31 × 37 × 173

Starting at 198,431, the Collatz iteration reaches 1 after 147 steps. The first transition is 595294; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 37 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 211,584

Proper Divisor Sum 13,153

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #198427 ← → #198437

Radix Representation

Decimal	198431
Binary	110000011100011111 (18 bits)
Octal	0o603437
Hexadecimal	0x3071F

Divisor Catalog (8)

1 31 37 173 1,147 5,363 6,401 198,431

Collatz Trajectory (147 steps to reach 1)

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

198,431 595,294 297,647 892,942 446,471 1,339,414 669,707 2,009,122 1,004,561 3,013,684 1,506,842 753,421 2,260,264 1,130,132 565,066 282,533 847,600 423,800 211,900 105,950 52,975 158,926 79,463 238,390 119,195 357,586 178,793 536,380 268,190 134,095 402,286 201,143 603,430 301,715 905,146 452,573 1,357,720 678,860 339,430 169,715 509,146 254,573 763,720 381,860 190,930 95,465 286,396 143,198 71,599 214,798 107,399 322,198 161,099 483,298 241,649 724,948 362,474 181,237 543,712 271,856

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