8,993,931

3 × 2997977

Starting at 8,993,931, the Collatz iteration reaches 1 after 137 steps. The first transition is 26981794; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2997977

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,991,912

Proper Divisor Sum 2,997,981

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8993927 ← → #8993939

Radix Representation

Decimal	8993931
Binary	100010010011110010001011 (24 bits)
Octal	0o42236213
Hexadecimal	0x893C8B

Divisor Catalog (4)

1 3 2,997,977 8,993,931

Collatz Trajectory (137 steps to reach 1)

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

8,993,931 26,981,794 13,490,897 40,472,692 20,236,346 10,118,173 30,354,520 15,177,260 7,588,630 3,794,315 11,382,946 5,691,473 17,074,420 8,537,210 4,268,605 12,805,816 6,402,908 3,201,454 1,600,727 4,802,182 2,401,091 7,203,274 3,601,637 10,804,912 5,402,456 2,701,228 1,350,614 675,307 2,025,922 1,012,961 3,038,884 1,519,442 759,721 2,279,164 1,139,582 569,791 1,709,374 854,687 2,564,062 1,282,031 3,846,094 1,923,047 5,769,142 2,884,571 8,653,714 4,326,857 12,980,572 6,490,286 3,245,143 9,735,430 4,867,715 14,603,146 7,301,573 21,904,720 10,952,360 5,476,180 2,738,090 1,369,045 4,107,136 2,053,568

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