44,973

3² × 19 × 263

Starting at 44,973, the Collatz iteration reaches 1 after 70 steps. The first transition is 134920; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 68,640

Proper Divisor Sum 23,667

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #44971 ← → #44983

Radix Representation

Decimal	44973
Binary	1010111110101101 (16 bits)
Octal	0o127655
Hexadecimal	0xAFAD

Divisor Catalog (12)

1 3 9 19 57 171 263 789 2,367 4,997 14,991 44,973

Collatz Trajectory (70 steps to reach 1)

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

44,973 134,920 67,460 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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