8,430,989

7² × 73 × 2357

Starting at 8,430,989, the Collatz iteration reaches 1 after 155 steps. The first transition is 25292968; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 73 × 2357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,946,044

Proper Divisor Sum 1,515,055

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8430941 ← → #8431013

Radix Representation

Decimal	8430989
Binary	100000001010010110001101 (24 bits)
Octal	0o40122615
Hexadecimal	0x80A58D

Divisor Catalog (12)

1 7 49 73 511 2,357 3,577 16,499 115,493 172,061 1,204,427 8,430,989

Collatz Trajectory (155 steps to reach 1)

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

8,430,989 25,292,968 12,646,484 6,323,242 3,161,621 9,484,864 4,742,432 2,371,216 1,185,608 592,804 296,402 148,201 444,604 222,302 111,151 333,454 166,727 500,182 250,091 750,274 375,137 1,125,412 562,706 281,353 844,060 422,030 211,015 633,046 316,523 949,570 474,785 1,424,356 712,178 356,089 1,068,268 534,134 267,067 801,202 400,601 1,201,804 600,902 300,451 901,354 450,677 1,352,032 676,016 338,008 169,004 84,502 42,251 126,754 63,377 190,132 95,066 47,533 142,600 71,300 35,650 17,825 53,476

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