8,064,005

5 × 43 × 37507

Starting at 8,064,005, the Collatz iteration reaches 1 after 93 steps. The first transition is 24192016; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 43 × 37507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,902,112

Proper Divisor Sum 1,838,107

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8063989 ← → #8064011

Radix Representation

Decimal	8064005
Binary	11110110000110000000101 (23 bits)
Octal	0o36606005
Hexadecimal	0x7B0C05

Divisor Catalog (8)

1 5 43 215 37,507 187,535 1,612,801 8,064,005

Collatz Trajectory (93 steps to reach 1)

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

8,064,005 24,192,016 12,096,008 6,048,004 3,024,002 1,512,001 4,536,004 2,268,002 1,134,001 3,402,004 1,701,002 850,501 2,551,504 1,275,752 637,876 318,938 159,469 478,408 239,204 119,602 59,801 179,404 89,702 44,851 134,554 67,277 201,832 100,916 50,458 25,229 75,688 37,844 18,922 9,461 28,384 14,192 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

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