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Atlas › Integer Profiles › Node 5,259,352

5,259,352

23 × 7 × 19 × 4943
Abundant Even Composite

5,259,352 factors as 2^3 × 7 × 19 × 4943. Its 32 positive divisors give a proper-divisor sum of 6,606,248, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 4943
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,865,600
Proper Divisor Sum 6,606,248
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5259337 ← → #5259361

Radix Representation

Decimal 5259352
Binary 10100000100000001011000 (23 bits)
Octal 0o24040130
Hexadecimal 0x504058

Divisor Catalog (32)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1,064 4,943 9,886 19,772 34,601 39,544 69,202 93,917 138,404 187,834 276,808 375,668 657,419 751,336 1,314,838 2,629,676 5,259,352

Collatz Trajectory (144 steps to reach 1)

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

5,259,352 2,629,676 1,314,838 657,419 1,972,258 986,129 2,958,388 1,479,194 739,597 2,218,792 1,109,396 554,698 277,349 832,048 416,024 208,012 104,006 52,003 156,010 78,005 234,016 117,008 58,504 29,252 14,626 7,313 21,940 10,970 5,485 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155

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