λ
Prime Ledger

3,272,288

25 × 102259
Deficient Even Composite

3,272,288 has the prime decomposition 2^5 × 102259. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 102259
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,442,380
Proper Divisor Sum 3,170,092
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3272239 ← → #3272303

Radix Representation

Decimal 3272288
Binary 1100011110111001100000 (22 bits)
Octal 0o14367140
Hexadecimal 0x31EE60

Divisor Catalog (12)

1 2 4 8 16 32 102,259 204,518 409,036 818,072 1,636,144 3,272,288

Collatz Trajectory (45 steps to reach 1)

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

3,272,288 1,636,144 818,072 409,036 204,518 102,259 306,778 153,389 460,168 230,084 115,042 57,521 172,564 86,282 43,141 129,424 64,712 32,356 16,178 8,089 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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