9,243,120

2⁴ × 3 × 5 × 19 × 2027

Starting at 9,243,120, the Collatz iteration reaches 1 after 101 steps. The first transition is 4621560; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 19 × 2027

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 30,176,640

Proper Divisor Sum 20,933,520

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9243107 ← → #9243131

Radix Representation

Decimal	9243120
Binary	100011010000100111110000 (24 bits)
Octal	0o43204760
Hexadecimal	0x8D09F0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1,140 1,520 2,027 2,280 4,054 4,560 6,081 8,108 10,135 12,162 16,216 20,270 24,324 30,405 32,432 38,513 40,540 48,648 60,810 77,026 81,080 97,296 115,539 121,620

Collatz Trajectory (101 steps to reach 1)

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

9,243,120 4,621,560 2,310,780 1,155,390 577,695 1,733,086 866,543 2,599,630 1,299,815 3,899,446 1,949,723 5,849,170 2,924,585 8,773,756 4,386,878 2,193,439 6,580,318 3,290,159 9,870,478 4,935,239 14,805,718 7,402,859 22,208,578 11,104,289 33,312,868 16,656,434 8,328,217 24,984,652 12,492,326 6,246,163 18,738,490 9,369,245 28,107,736 14,053,868 7,026,934 3,513,467 10,540,402 5,270,201 15,810,604 7,905,302 3,952,651 11,857,954 5,928,977 17,786,932 8,893,466 4,446,733 13,340,200 6,670,100 3,335,050 1,667,525 5,002,576 2,501,288 1,250,644 625,322 312,661 937,984 468,992 234,496 117,248 58,624

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