9,824,010

2 × 3 × 5 × 7² × 41 × 163

Starting at 9,824,010, the Collatz iteration reaches 1 after 114 steps. The first transition is 4912005; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 41 × 163

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 28,268,352

Proper Divisor Sum 18,444,342

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9823973 ← → #9824029

Radix Representation

Decimal	9824010
Binary	100101011110011100001010 (24 bits)
Octal	0o45363412
Hexadecimal	0x95E70A

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 70 82 98 105 123 147 163 205 210 245 246 287 294 326 410 489 490 574 615 735 815 861 978 1,141 1,230 1,435 1,470 1,630 1,722 2,009 2,282 2,445 2,870 3,423 4,018 4,305 4,890 5,705 6,027 6,683 6,846 7,987 8,610 10,045 11,410

Collatz Trajectory (114 steps to reach 1)

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

9,824,010 4,912,005 14,736,016 7,368,008 3,684,004 1,842,002 921,001 2,763,004 1,381,502 690,751 2,072,254 1,036,127 3,108,382 1,554,191 4,662,574 2,331,287 6,993,862 3,496,931 10,490,794 5,245,397 15,736,192 7,868,096 3,934,048 1,967,024 983,512 491,756 245,878 122,939 368,818 184,409 553,228 276,614 138,307 414,922 207,461 622,384 311,192 155,596 77,798 38,899 116,698 58,349 175,048 87,524 43,762 21,881 65,644 32,822 16,411 49,234 24,617 73,852 36,926 18,463 55,390 27,695 83,086 41,543 124,630 62,315

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