800,773

800773

Starting at 800,773, the Collatz iteration reaches 1 after 237 steps. The first transition is 2402320; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 800773

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 800,774

Proper Divisor Sum 1

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #800759 ← → #800783

Radix Representation

Decimal	800773
Binary	11000011100000000101 (20 bits)
Octal	0o3034005
Hexadecimal	0xC3805

Divisor Catalog (2)

1 800,773

Collatz Trajectory (237 steps to reach 1)

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

800,773 2,402,320 1,201,160 600,580 300,290 150,145 450,436 225,218 112,609 337,828 168,914 84,457 253,372 126,686 63,343 190,030 95,015 285,046 142,523 427,570 213,785 641,356 320,678 160,339 481,018 240,509 721,528 360,764 180,382 90,191 270,574 135,287 405,862 202,931 608,794 304,397 913,192 456,596 228,298 114,149 342,448 171,224 85,612 42,806 21,403 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476

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