λ
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Atlas › Integer Profiles › Node 23,220,132

23,220,132

22 × 3 × 13 × 73 × 2039
Abundant Even Composite

23,220,132 factors as 2^2 × 3 × 13 × 73 × 2039. Its 48 positive divisors give a proper-divisor sum of 35,956,188, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 73 × 2039
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,176,320
Proper Divisor Sum 35,956,188
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #23220091 ← → #23220139

Radix Representation

Decimal 23220132
Binary 1011000100100111110100100 (25 bits)
Octal 0o130447644
Hexadecimal 0x1624FA4

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1,898 2,039 2,847 3,796 4,078 5,694 6,117 8,156 11,388 12,234 24,468 26,507 53,014 79,521 106,028 148,847 159,042 297,694 318,084 446,541 595,388 893,082 1,786,164 1,935,011 3,870,022 5,805,033 7,740,044 11,610,066 23,220,132

Collatz Trajectory (216 steps to reach 1)

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

23,220,132 11,610,066 5,805,033 17,415,100 8,707,550 4,353,775 13,061,326 6,530,663 19,591,990 9,795,995 29,387,986 14,693,993 44,081,980 22,040,990 11,020,495 33,061,486 16,530,743 49,592,230 24,796,115 74,388,346 37,194,173 111,582,520 55,791,260 27,895,630 13,947,815 41,843,446 20,921,723 62,765,170 31,382,585 94,147,756 47,073,878 23,536,939 70,610,818 35,305,409 105,916,228 52,958,114 26,479,057 79,437,172 39,718,586 19,859,293 59,577,880 29,788,940 14,894,470 7,447,235 22,341,706 11,170,853 33,512,560 16,756,280 8,378,140 4,189,070 2,094,535 6,283,606 3,141,803 9,425,410 4,712,705 14,138,116 7,069,058 3,534,529 10,603,588 5,301,794

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