9,319,374

2 × 3⁴ × 57527

Starting at 9,319,374, the Collatz iteration reaches 1 after 132 steps. The first transition is 4659687; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 57527

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 20,882,664

Proper Divisor Sum 11,563,290

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9319357 ← → #9319381

Radix Representation

Decimal	9319374
Binary	100011100011001111001110 (24 bits)
Octal	0o43431716
Hexadecimal	0x8E33CE

Divisor Catalog (20)

Collatz Trajectory (132 steps to reach 1)

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

9,319,374 4,659,687 13,979,062 6,989,531 20,968,594 10,484,297 31,452,892 15,726,446 7,863,223 23,589,670 11,794,835 35,384,506 17,692,253 53,076,760 26,538,380 13,269,190 6,634,595 19,903,786 9,951,893 29,855,680 14,927,840 7,463,920 3,731,960 1,865,980 932,990 466,495 1,399,486 699,743 2,099,230 1,049,615 3,148,846 1,574,423 4,723,270 2,361,635 7,084,906 3,542,453 10,627,360 5,313,680 2,656,840 1,328,420 664,210 332,105 996,316 498,158 249,079 747,238 373,619 1,120,858 560,429 1,681,288 840,644 420,322 210,161 630,484 315,242 157,621 472,864 236,432 118,216 59,108

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