8,469,345

3 × 5 × 19 × 29717

Starting at 8,469,345, the Collatz iteration reaches 1 after 199 steps. The first transition is 25408036; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 29717

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,264,640

Proper Divisor Sum 5,795,295

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8469343 ← → #8469367

Radix Representation

Decimal	8469345
Binary	100000010011101101100001 (24 bits)
Octal	0o40235541
Hexadecimal	0x813B61

Divisor Catalog (16)

1 3 5 15 19 57 95 285 29,717 89,151 148,585 445,755 564,623 1,693,869 2,823,115 8,469,345

Collatz Trajectory (199 steps to reach 1)

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

8,469,345 25,408,036 12,704,018 6,352,009 19,056,028 9,528,014 4,764,007 14,292,022 7,146,011 21,438,034 10,719,017 32,157,052 16,078,526 8,039,263 24,117,790 12,058,895 36,176,686 18,088,343 54,265,030 27,132,515 81,397,546 40,698,773 122,096,320 61,048,160 30,524,080 15,262,040 7,631,020 3,815,510 1,907,755 5,723,266 2,861,633 8,584,900 4,292,450 2,146,225 6,438,676 3,219,338 1,609,669 4,829,008 2,414,504 1,207,252 603,626 301,813 905,440 452,720 226,360 113,180 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953

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