λ
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Atlas › Integer Profiles › Node 62,460,220

62,460,220

22 × 5 × 192 × 41 × 211
Abundant Even Composite

62,460,220 factors as 2^2 × 5 × 19^2 × 41 × 211. Its 72 positive divisors give a proper-divisor sum of 80,021,588, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19^2 × 41 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 142,481,808
Proper Divisor Sum 80,021,588
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #62460217 ← → #62460241

Radix Representation

Decimal 62460220
Binary 11101110010001000100111100 (26 bits)
Octal 0o356210474
Hexadecimal 0x3B9113C

Divisor Catalog (60 of 72)

1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 211 361 380 410 422 722 779 820 844 1,055 1,444 1,558 1,805 2,110 3,116 3,610 3,895 4,009 4,220 7,220 7,790 8,018 8,651 14,801 15,580 16,036 17,302 20,045 29,602 34,604 40,090 43,255 59,204 74,005 76,171 80,180 86,510 148,010 152,342 164,369 173,020 296,020 304,684 328,738 380,855

Collatz Trajectory (132 steps to reach 1)

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

62,460,220 31,230,110 15,615,055 46,845,166 23,422,583 70,267,750 35,133,875 105,401,626 52,700,813 158,102,440 79,051,220 39,525,610 19,762,805 59,288,416 29,644,208 14,822,104 7,411,052 3,705,526 1,852,763 5,558,290 2,779,145 8,337,436 4,168,718 2,084,359 6,253,078 3,126,539 9,379,618 4,689,809 14,069,428 7,034,714 3,517,357 10,552,072 5,276,036 2,638,018 1,319,009 3,957,028 1,978,514 989,257 2,967,772 1,483,886 741,943 2,225,830 1,112,915 3,338,746 1,669,373 5,008,120 2,504,060 1,252,030 626,015 1,878,046 939,023 2,817,070 1,408,535 4,225,606 2,112,803 6,338,410 3,169,205 9,507,616 4,753,808 2,376,904

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