501,188

2² × 107 × 1171

Starting at 501,188, the Collatz iteration reaches 1 after 107 steps. The first transition is 250594; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 107 × 1171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 886,032

Proper Divisor Sum 384,844

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #501187 ← → #501191

Radix Representation

Decimal	501188
Binary	1111010010111000100 (19 bits)
Octal	0o1722704
Hexadecimal	0x7A5C4

Divisor Catalog (12)

1 2 4 107 214 428 1,171 2,342 4,684 125,297 250,594 501,188

Collatz Trajectory (107 steps to reach 1)

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

501,188 250,594 125,297 375,892 187,946 93,973 281,920 140,960 70,480 35,240 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

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