82,484

2² × 17 × 1213

Starting at 82,484, the Collatz iteration reaches 1 after 32 steps. The first transition is 41242; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 1213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 152,964

Proper Divisor Sum 70,480

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #82483 ← → #82487

Radix Representation

Decimal	82484
Binary	10100001000110100 (17 bits)
Octal	0o241064
Hexadecimal	0x14234

Divisor Catalog (12)

1 2 4 17 34 68 1,213 2,426 4,852 20,621 41,242 82,484

Collatz Trajectory (32 steps to reach 1)

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

82,484 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

← Previous Integer #82,483 Browse Full Index Next Integer #82,485 →