552,864

2⁵ × 3 × 13 × 443

552,864 is even and not a perfect square. Its factorization is 2^5 × 3 × 13 × 443 and its 48 divisors sum to 1,566,432.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,566,432

Proper Divisor Sum 1,013,568

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #552859 ← → #552883

Radix Representation

Decimal	552864
Binary	10000110111110100000 (20 bits)
Octal	0o2067640
Hexadecimal	0x86FA0

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 443 624 886 1,248 1,329 1,772 2,658 3,544 5,316 5,759 7,088 10,632 11,518 14,176 17,277 21,264 23,036 34,554 42,528 46,072 69,108 92,144 138,216 184,288 276,432 552,864

Collatz Trajectory (133 steps to reach 1)

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

552,864 276,432 138,216 69,108 34,554 17,277 51,832 25,916 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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