534,552

2³ × 3 × 22273

534,552 factors as 2^3 × 3 × 22273. Its 16 positive divisors give a proper-divisor sum of 801,888, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 22273

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,336,440

Proper Divisor Sum 801,888

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #534529 ← → #534553

Radix Representation

Decimal	534552
Binary	10000010100000011000 (20 bits)
Octal	0o2024030
Hexadecimal	0x82818

Divisor Catalog (16)

1 2 3 4 6 8 12 24 22,273 44,546 66,819 89,092 133,638 178,184 267,276 534,552

Collatz Trajectory (120 steps to reach 1)

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

534,552 267,276 133,638 66,819 200,458 100,229 300,688 150,344 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397

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