9,266,316

2² × 3 × 193 × 4001

Starting at 9,266,316, the Collatz iteration reaches 1 after 225 steps. The first transition is 4633158; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 193 × 4001

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,738,864

Proper Divisor Sum 12,472,548

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9266311 ← → #9266333

Radix Representation

Decimal	9266316
Binary	100011010110010010001100 (24 bits)
Octal	0o43262214
Hexadecimal	0x8D648C

Divisor Catalog (24)

1 2 3 4 6 12 193 386 579 772 1,158 2,316 4,001 8,002 12,003 16,004 24,006 48,012 772,193 1,544,386 2,316,579 3,088,772 4,633,158 9,266,316

Collatz Trajectory (225 steps to reach 1)

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

9,266,316 4,633,158 2,316,579 6,949,738 3,474,869 10,424,608 5,212,304 2,606,152 1,303,076 651,538 325,769 977,308 488,654 244,327 732,982 366,491 1,099,474 549,737 1,649,212 824,606 412,303 1,236,910 618,455 1,855,366 927,683 2,783,050 1,391,525 4,174,576 2,087,288 1,043,644 521,822 260,911 782,734 391,367 1,174,102 587,051 1,761,154 880,577 2,641,732 1,320,866 660,433 1,981,300 990,650 495,325 1,485,976 742,988 371,494 185,747 557,242 278,621 835,864 417,932 208,966 104,483 313,450 156,725 470,176 235,088 117,544 58,772

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