9,461,810

2 × 5 × 19² × 2621

Starting at 9,461,810, the Collatz iteration reaches 1 after 101 steps. The first transition is 4730905; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 19^2 × 2621

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,981,676

Proper Divisor Sum 8,519,866

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9461797 ← → #9461819

Radix Representation

Decimal	9461810
Binary	100100000110000000110010 (24 bits)
Octal	0o44060062
Hexadecimal	0x906032

Divisor Catalog (24)

1 2 5 10 19 38 95 190 361 722 1,805 2,621 3,610 5,242 13,105 26,210 49,799 99,598 248,995 497,990 946,181 1,892,362 4,730,905 9,461,810

Collatz Trajectory (101 steps to reach 1)

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

9,461,810 4,730,905 14,192,716 7,096,358 3,548,179 10,644,538 5,322,269 15,966,808 7,983,404 3,991,702 1,995,851 5,987,554 2,993,777 8,981,332 4,490,666 2,245,333 6,736,000 3,368,000 1,684,000 842,000 421,000 210,500 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672

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