8,903,992

2³ × 109 × 10211

Starting at 8,903,992, the Collatz iteration reaches 1 after 168 steps. The first transition is 4451996; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 109 × 10211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,849,800

Proper Divisor Sum 7,945,808

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8903959 ← → #8904023

Radix Representation

Decimal	8903992
Binary	100001111101110100111000 (24 bits)
Octal	0o41756470
Hexadecimal	0x87DD38

Divisor Catalog (16)

1 2 4 8 109 218 436 872 10,211 20,422 40,844 81,688 1,112,999 2,225,998 4,451,996 8,903,992

Collatz Trajectory (168 steps to reach 1)

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

8,903,992 4,451,996 2,225,998 1,112,999 3,338,998 1,669,499 5,008,498 2,504,249 7,512,748 3,756,374 1,878,187 5,634,562 2,817,281 8,451,844 4,225,922 2,112,961 6,338,884 3,169,442 1,584,721 4,754,164 2,377,082 1,188,541 3,565,624 1,782,812 891,406 445,703 1,337,110 668,555 2,005,666 1,002,833 3,008,500 1,504,250 752,125 2,256,376 1,128,188 564,094 282,047 846,142 423,071 1,269,214 634,607 1,903,822 951,911 2,855,734 1,427,867 4,283,602 2,141,801 6,425,404 3,212,702 1,606,351 4,819,054 2,409,527 7,228,582 3,614,291 10,842,874 5,421,437 16,264,312 8,132,156 4,066,078 2,033,039

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