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Atlas › Integer Profiles › Node 5,503,386

5,503,386

2 × 3 × 72 × 18719
Abundant Even Composite

5,503,386 factors as 2 × 3 × 7^2 × 18719. Its 24 positive divisors give a proper-divisor sum of 7,301,094, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 18719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,804,480
Proper Divisor Sum 7,301,094
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5503373 ← → #5503391

Radix Representation

Decimal 5503386
Binary 10100111111100110011010 (23 bits)
Octal 0o24774632
Hexadecimal 0x53F99A

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 18,719 37,438 56,157 112,314 131,033 262,066 393,099 786,198 917,231 1,834,462 2,751,693 5,503,386

Collatz Trajectory (108 steps to reach 1)

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

5,503,386 2,751,693 8,255,080 4,127,540 2,063,770 1,031,885 3,095,656 1,547,828 773,914 386,957 1,160,872 580,436 290,218 145,109 435,328 217,664 108,832 54,416 27,208 13,604 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831

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