811,780

2² × 5 × 37 × 1097

Starting at 811,780, the Collatz iteration reaches 1 after 206 steps. The first transition is 405890; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 1097

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,752,408

Proper Divisor Sum 940,628

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #811777 ← → #811799

Radix Representation

Decimal	811780
Binary	11000110001100000100 (20 bits)
Octal	0o3061404
Hexadecimal	0xC6304

Divisor Catalog (24)

1 2 4 5 10 20 37 74 148 185 370 740 1,097 2,194 4,388 5,485 10,970 21,940 40,589 81,178 162,356 202,945 405,890 811,780

Collatz Trajectory (206 steps to reach 1)

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

811,780 405,890 202,945 608,836 304,418 152,209 456,628 228,314 114,157 342,472 171,236 85,618 42,809 128,428 64,214 32,107 96,322 48,161 144,484 72,242 36,121 108,364 54,182 27,091 81,274 40,637 121,912 60,956 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859

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