9,784,494

2 × 3² × 109 × 4987

Starting at 9,784,494, the Collatz iteration reaches 1 after 101 steps. The first transition is 4892247; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 109 × 4987

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,398,520

Proper Divisor Sum 11,614,026

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9784493 ← → #9784519

Radix Representation

Decimal	9784494
Binary	100101010100110010101110 (24 bits)
Octal	0o45246256
Hexadecimal	0x954CAE

Divisor Catalog (24)

1 2 3 6 9 18 109 218 327 654 981 1,962 4,987 9,974 14,961 29,922 44,883 89,766 543,583 1,087,166 1,630,749 3,261,498 4,892,247 9,784,494

Collatz Trajectory (101 steps to reach 1)

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

9,784,494 4,892,247 14,676,742 7,338,371 22,015,114 11,007,557 33,022,672 16,511,336 8,255,668 4,127,834 2,063,917 6,191,752 3,095,876 1,547,938 773,969 2,321,908 1,160,954 580,477 1,741,432 870,716 435,358 217,679 653,038 326,519 979,558 489,779 1,469,338 734,669 2,204,008 1,102,004 551,002 275,501 826,504 413,252 206,626 103,313 309,940 154,970 77,485 232,456 116,228 58,114 29,057 87,172 43,586 21,793 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724

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