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Atlas › Integer Profiles › Node 5,483,568

5,483,568

24 × 3 × 23 × 4967
Abundant Even Composite

5,483,568 factors as 2^4 × 3 × 23 × 4967. Its 40 positive divisors give a proper-divisor sum of 9,301,200, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 4967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,784,768
Proper Divisor Sum 9,301,200
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5483567 ← → #5483579

Radix Representation

Decimal 5483568
Binary 10100111010110000110000 (23 bits)
Octal 0o24726060
Hexadecimal 0x53AC30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,104 4,967 9,934 14,901 19,868 29,802 39,736 59,604 79,472 114,241 119,208 228,482 238,416 342,723 456,964 685,446 913,928 1,370,892 1,827,856 2,741,784 5,483,568

Collatz Trajectory (108 steps to reach 1)

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

5,483,568 2,741,784 1,370,892 685,446 342,723 1,028,170 514,085 1,542,256 771,128 385,564 192,782 96,391 289,174 144,587 433,762 216,881 650,644 325,322 162,661 487,984 243,992 121,996 60,998 30,499 91,498 45,749 137,248 68,624 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 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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