8,321,481

3³ × 7 × 44029

Starting at 8,321,481, the Collatz iteration reaches 1 after 80 steps. The first transition is 24964444; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 44029

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,089,600

Proper Divisor Sum 5,768,119

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8321429 ← → #8321503

Radix Representation

Decimal	8321481
Binary	11111101111100111001001 (23 bits)
Octal	0o37574711
Hexadecimal	0x7EF9C9

Divisor Catalog (16)

1 3 7 9 21 27 63 189 44,029 132,087 308,203 396,261 924,609 1,188,783 2,773,827 8,321,481

Collatz Trajectory (80 steps to reach 1)

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

8,321,481 24,964,444 12,482,222 6,241,111 18,723,334 9,361,667 28,085,002 14,042,501 42,127,504 21,063,752 10,531,876 5,265,938 2,632,969 7,898,908 3,949,454 1,974,727 5,924,182 2,962,091 8,886,274 4,443,137 13,329,412 6,664,706 3,332,353 9,997,060 4,998,530 2,499,265 7,497,796 3,748,898 1,874,449 5,623,348 2,811,674 1,405,837 4,217,512 2,108,756 1,054,378 527,189 1,581,568 790,784 395,392 197,696 98,848 49,424 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245

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