978,381

3² × 108709

Starting at 978,381, the Collatz iteration reaches 1 after 77 steps. The first transition is 2935144; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 108709

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,413,230

Proper Divisor Sum 434,849

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #978359 ← → #978389

Radix Representation

Decimal	978381
Binary	11101110110111001101 (20 bits)
Octal	0o3566715
Hexadecimal	0xEEDCD

Divisor Catalog (6)

1 3 9 108,709 326,127 978,381

Collatz Trajectory (77 steps to reach 1)

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

978,381 2,935,144 1,467,572 733,786 366,893 1,100,680 550,340 275,170 137,585 412,756 206,378 103,189 309,568 154,784 77,392 38,696 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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