8,784,213

3 × 19² × 8111

Starting at 8,784,213, the Collatz iteration reaches 1 after 181 steps. The first transition is 26352640; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 19^2 × 8111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,362,688

Proper Divisor Sum 3,578,475

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8784203 ← → #8784221

Radix Representation

Decimal	8784213
Binary	100001100000100101010101 (24 bits)
Octal	0o41404525
Hexadecimal	0x860955

Divisor Catalog (12)

1 3 19 57 361 1,083 8,111 24,333 154,109 462,327 2,928,071 8,784,213

Collatz Trajectory (181 steps to reach 1)

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

8,784,213 26,352,640 13,176,320 6,588,160 3,294,080 1,647,040 823,520 411,760 205,880 102,940 51,470 25,735 77,206 38,603 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549

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