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5,484,064

25 × 172 × 593
Abundant Even Composite

5,484,064 factors as 2^5 × 17^2 × 593. Its 36 positive divisors give a proper-divisor sum of 6,004,490, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^5 × 17^2 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,488,554
Proper Divisor Sum 6,004,490
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5484049 ← → #5484067

Radix Representation

Decimal 5484064
Binary 10100111010111000100000 (23 bits)
Octal 0o24727040
Hexadecimal 0x53AE20

Divisor Catalog (36)

1 2 4 8 16 17 32 34 68 136 272 289 544 578 593 1,156 1,186 2,312 2,372 4,624 4,744 9,248 9,488 10,081 18,976 20,162 40,324 80,648 161,296 171,377 322,592 342,754 685,508 1,371,016 2,742,032 5,484,064

Collatz Trajectory (108 steps to reach 1)

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

5,484,064 2,742,032 1,371,016 685,508 342,754 171,377 514,132 257,066 128,533 385,600 192,800 96,400 48,200 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812

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