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520,744

23 × 7 × 17 × 547
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,183,680
Proper Divisor Sum 662,936
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #520721 ← → #520747

Radix Representation

Decimal 520744
Binary 1111111001000101000 (19 bits)
Octal 0o1771050
Hexadecimal 0x7F228

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 547 952 1,094 2,188 3,829 4,376 7,658 9,299 15,316 18,598 30,632 37,196 65,093 74,392 130,186 260,372 520,744

Collatz Trajectory (164 steps to reach 1)

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

520,744 260,372 130,186 65,093 195,280 97,640 48,820 24,410 12,205 36,616 18,308 9,154 4,577 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94

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