9,684,834

2 × 3 × 31 × 52069

Starting at 9,684,834, the Collatz iteration reaches 1 after 70 steps. The first transition is 4842417; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 52069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,994,880

Proper Divisor Sum 10,310,046

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9684827 ← → #9684839

Radix Representation

Decimal	9684834
Binary	100100111100011101100010 (24 bits)
Octal	0o44743542
Hexadecimal	0x93C762

Divisor Catalog (16)

1 2 3 6 31 62 93 186 52,069 104,138 156,207 312,414 1,614,139 3,228,278 4,842,417 9,684,834

Collatz Trajectory (70 steps to reach 1)

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

9,684,834 4,842,417 14,527,252 7,263,626 3,631,813 10,895,440 5,447,720 2,723,860 1,361,930 680,965 2,042,896 1,021,448 510,724 255,362 127,681 383,044 191,522 95,761 287,284 143,642 71,821 215,464 107,732 53,866 26,933 80,800 40,400 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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