9,249,240

2³ × 3 × 5 × 7² × 11² × 13

Starting at 9,249,240, the Collatz iteration reaches 1 after 194 steps. The first transition is 4624620; the starting value is even with 288 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7^2 × 11^2 × 13

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 288

Divisor Sum (σ) 38,208,240

Proper Divisor Sum 28,959,000

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9249221 ← → #9249263

Radix Representation

Decimal	9249240
Binary	100011010010000111011000 (24 bits)
Octal	0o43220730
Hexadecimal	0x8D21D8

Divisor Catalog (60 of 288)

1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 26 28 30 33 35 39 40 42 44 49 52 55 56 60 65 66 70 77 78 84 88 91 98 104 105 110 120 121 130 132 140 143 147 154 156 165 168 182 195 196 210 220

Collatz Trajectory (194 steps to reach 1)

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

9,249,240 4,624,620 2,312,310 1,156,155 3,468,466 1,734,233 5,202,700 2,601,350 1,300,675 3,902,026 1,951,013 5,853,040 2,926,520 1,463,260 731,630 365,815 1,097,446 548,723 1,646,170 823,085 2,469,256 1,234,628 617,314 308,657 925,972 462,986 231,493 694,480 347,240 173,620 86,810 43,405 130,216 65,108 32,554 16,277 48,832 24,416 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633

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