8,810,890

2 × 5 × 11 × 173 × 463

Starting at 8,810,890, the Collatz iteration reaches 1 after 168 steps. The first transition is 4405445; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 173 × 463

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,438,976

Proper Divisor Sum 8,628,086

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8810873 ← → #8810891

Radix Representation

Decimal	8810890
Binary	100001100111000110001010 (24 bits)
Octal	0o41470612
Hexadecimal	0x86718A

Divisor Catalog (32)

1 2 5 10 11 22 55 110 173 346 463 865 926 1,730 1,903 2,315 3,806 4,630 5,093 9,515 10,186 19,030 25,465 50,930 80,099 160,198 400,495 800,990 881,089 1,762,178 4,405,445 8,810,890

Collatz Trajectory (168 steps to reach 1)

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

8,810,890 4,405,445 13,216,336 6,608,168 3,304,084 1,652,042 826,021 2,478,064 1,239,032 619,516 309,758 154,879 464,638 232,319 696,958 348,479 1,045,438 522,719 1,568,158 784,079 2,352,238 1,176,119 3,528,358 1,764,179 5,292,538 2,646,269 7,938,808 3,969,404 1,984,702 992,351 2,977,054 1,488,527 4,465,582 2,232,791 6,698,374 3,349,187 10,047,562 5,023,781 15,071,344 7,535,672 3,767,836 1,883,918 941,959 2,825,878 1,412,939 4,238,818 2,119,409 6,358,228 3,179,114 1,589,557 4,768,672 2,384,336 1,192,168 596,084 298,042 149,021 447,064 223,532 111,766 55,883

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