933,150

2 × 3 × 5² × 6221

Starting at 933,150, the Collatz iteration reaches 1 after 245 steps. The first transition is 466575; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 6221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,314,584

Proper Divisor Sum 1,381,434

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #933073 ← → #933151

Radix Representation

Decimal	933150
Binary	11100011110100011110 (20 bits)
Octal	0o3436436
Hexadecimal	0xE3D1E

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 6,221 12,442 18,663 31,105 37,326 62,210 93,315 155,525 186,630 311,050 466,575 933,150

Collatz Trajectory (245 steps to reach 1)

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

933,150 466,575 1,399,726 699,863 2,099,590 1,049,795 3,149,386 1,574,693 4,724,080 2,362,040 1,181,020 590,510 295,255 885,766 442,883 1,328,650 664,325 1,992,976 996,488 498,244 249,122 124,561 373,684 186,842 93,421 280,264 140,132 70,066 35,033 105,100 52,550 26,275 78,826 39,413 118,240 59,120 29,560 14,780 7,390 3,695 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921

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