9,810,873

3² × 1090097

Starting at 9,810,873, the Collatz iteration reaches 1 after 119 steps. The first transition is 29432620; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 1090097

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,171,274

Proper Divisor Sum 4,360,401

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9810863 ← → #9810881

Radix Representation

Decimal	9810873
Binary	100101011011001110111001 (24 bits)
Octal	0o45331671
Hexadecimal	0x95B3B9

Divisor Catalog (6)

1 3 9 1,090,097 3,270,291 9,810,873

Collatz Trajectory (119 steps to reach 1)

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

9,810,873 29,432,620 14,716,310 7,358,155 22,074,466 11,037,233 33,111,700 16,555,850 8,277,925 24,833,776 12,416,888 6,208,444 3,104,222 1,552,111 4,656,334 2,328,167 6,984,502 3,492,251 10,476,754 5,238,377 15,715,132 7,857,566 3,928,783 11,786,350 5,893,175 17,679,526 8,839,763 26,519,290 13,259,645 39,778,936 19,889,468 9,944,734 4,972,367 14,917,102 7,458,551 22,375,654 11,187,827 33,563,482 16,781,741 50,345,224 25,172,612 12,586,306 6,293,153 18,879,460 9,439,730 4,719,865 14,159,596 7,079,798 3,539,899 10,619,698 5,309,849 15,929,548 7,964,774 3,982,387 11,947,162 5,973,581 17,920,744 8,960,372 4,480,186 2,240,093

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