8,004,295

5 × 13 × 123143

Starting at 8,004,295, the Collatz iteration reaches 1 after 305 steps. The first transition is 24012886; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 123143

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,344,096

Proper Divisor Sum 2,339,801

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8004281 ← → #8004313

Radix Representation

Decimal	8004295
Binary	11110100010001011000111 (23 bits)
Octal	0o36421307
Hexadecimal	0x7A22C7

Divisor Catalog (8)

1 5 13 65 123,143 615,715 1,600,859 8,004,295

Collatz Trajectory (305 steps to reach 1)

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

8,004,295 24,012,886 12,006,443 36,019,330 18,009,665 54,028,996 27,014,498 13,507,249 40,521,748 20,260,874 10,130,437 30,391,312 15,195,656 7,597,828 3,798,914 1,899,457 5,698,372 2,849,186 1,424,593 4,273,780 2,136,890 1,068,445 3,205,336 1,602,668 801,334 400,667 1,202,002 601,001 1,803,004 901,502 450,751 1,352,254 676,127 2,028,382 1,014,191 3,042,574 1,521,287 4,563,862 2,281,931 6,845,794 3,422,897 10,268,692 5,134,346 2,567,173 7,701,520 3,850,760 1,925,380 962,690 481,345 1,444,036 722,018 361,009 1,083,028 541,514 270,757 812,272 406,136 203,068 101,534 50,767

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