30,264

2³ × 3 × 13 × 97

30,264 is even and not a perfect square. Its factorization is 2^3 × 3 × 13 × 97 and its 32 divisors sum to 82,320.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 82,320

Proper Divisor Sum 52,056

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #30259 ← → #30269

Radix Representation

Decimal	30264
Binary	111011000111000 (15 bits)
Octal	0o73070
Hexadecimal	0x7638

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 156 194 291 312 388 582 776 1,164 1,261 2,328 2,522 3,783 5,044 7,566 10,088 15,132 30,264

Collatz Trajectory (134 steps to reach 1)

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

30,264 15,132 7,566 3,783 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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