801,664

2⁷ × 6263

Starting at 801,664, the Collatz iteration reaches 1 after 118 steps. The first transition is 400832; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 6263

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,597,320

Proper Divisor Sum 795,656

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #801641 ← → #801677

Radix Representation

Decimal	801664
Binary	11000011101110000000 (20 bits)
Octal	0o3035600
Hexadecimal	0xC3B80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 6,263 12,526 25,052 50,104 100,208 200,416 400,832 801,664

Collatz Trajectory (118 steps to reach 1)

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

801,664 400,832 200,416 100,208 50,104 25,052 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096

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