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Atlas › Integer Profiles › Node 5,347,290

5,347,290

2 × 3 × 5 × 13 × 13711
Abundant Even Composite

5,347,290 factors as 2 × 3 × 5 × 13 × 13711. Its 32 positive divisors give a proper-divisor sum of 8,474,406, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 13711
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,821,696
Proper Divisor Sum 8,474,406
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5347271 ← → #5347291

Radix Representation

Decimal 5347290
Binary 10100011001011111011010 (23 bits)
Octal 0o24313732
Hexadecimal 0x5197DA

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 13,711 27,422 41,133 68,555 82,266 137,110 178,243 205,665 356,486 411,330 534,729 891,215 1,069,458 1,782,430 2,673,645 5,347,290

Collatz Trajectory (95 steps to reach 1)

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

5,347,290 2,673,645 8,020,936 4,010,468 2,005,234 1,002,617 3,007,852 1,503,926 751,963 2,255,890 1,127,945 3,383,836 1,691,918 845,959 2,537,878 1,268,939 3,806,818 1,903,409 5,710,228 2,855,114 1,427,557 4,282,672 2,141,336 1,070,668 535,334 267,667 803,002 401,501 1,204,504 602,252 301,126 150,563 451,690 225,845 677,536 338,768 169,384 84,692 42,346 21,173 63,520 31,760 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944

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