32,675

5² × 1307

Starting at 32,675, the Collatz iteration reaches 1 after 67 steps. The first transition is 98026; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 1307

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 40,548

Proper Divisor Sum 7,873

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #32653 ← → #32687

Radix Representation

Decimal	32675
Binary	111111110100011 (15 bits)
Octal	0o77643
Hexadecimal	0x7FA3

Divisor Catalog (6)

1 5 25 1,307 6,535 32,675

Collatz Trajectory (67 steps to reach 1)

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

32,675 98,026 49,013 147,040 73,520 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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