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Atlas › Integer Profiles › Node 62,232,016

62,232,016

24 × 7 × 11 × 50513
Abundant Even Composite

62,232,016 factors as 2^4 × 7 × 11 × 50513. Its 40 positive divisors give a proper-divisor sum of 88,097,648, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 50513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 150,329,664
Proper Divisor Sum 88,097,648
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #62232007 ← → #62232029

Radix Representation

Decimal 62232016
Binary 11101101011001010111010000 (26 bits)
Octal 0o355312720
Hexadecimal 0x3B595D0

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 50,513 101,026 202,052 353,591 404,104 555,643 707,182 808,208 1,111,286 1,414,364 2,222,572 2,828,728 3,889,501 4,445,144 5,657,456 7,779,002 8,890,288 15,558,004 31,116,008 62,232,016

Collatz Trajectory (189 steps to reach 1)

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

62,232,016 31,116,008 15,558,004 7,779,002 3,889,501 11,668,504 5,834,252 2,917,126 1,458,563 4,375,690 2,187,845 6,563,536 3,281,768 1,640,884 820,442 410,221 1,230,664 615,332 307,666 153,833 461,500 230,750 115,375 346,126 173,063 519,190 259,595 778,786 389,393 1,168,180 584,090 292,045 876,136 438,068 219,034 109,517 328,552 164,276 82,138 41,069 123,208 61,604 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792

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