28,290

2 × 3 × 5 × 23 × 41

28,290 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 23 × 41 and its 32 divisors sum to 72,576.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 72,576

Proper Divisor Sum 44,286

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #28289 ← → #28297

Radix Representation

Decimal	28290
Binary	110111010000010 (15 bits)
Octal	0o67202
Hexadecimal	0x6E82

Divisor Catalog (32)

1 2 3 5 6 10 15 23 30 41 46 69 82 115 123 138 205 230 246 345 410 615 690 943 1,230 1,886 2,829 4,715 5,658 9,430 14,145 28,290

Collatz Trajectory (33 steps to reach 1)

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

28,290 14,145 42,436 21,218 10,609 31,828 15,914 7,957 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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