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Atlas › Integer Profiles › Node 80,980,240

80,980,240

24 × 5 × 11 × 23 × 4001
Abundant Even Composite

80,980,240 factors as 2^4 × 5 × 11 × 23 × 4001. Its 80 positive divisors give a proper-divisor sum of 133,398,896, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 23 × 4001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 214,379,136
Proper Divisor Sum 133,398,896
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #80980213 ← → #80980241

Radix Representation

Decimal 80980240
Binary 100110100111010100100010000 (27 bits)
Octal 0o464724420
Hexadecimal 0x4D3A910

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1,012 1,265 1,840 2,024 2,530 4,001 4,048 5,060 8,002 10,120 16,004 20,005 20,240 32,008 40,010 44,011 64,016 80,020 88,022 92,023 160,040 176,044 184,046 220,055 320,080 352,088 368,092 440,110 460,115

Collatz Trajectory (109 steps to reach 1)

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

80,980,240 40,490,120 20,245,060 10,122,530 5,061,265 15,183,796 7,591,898 3,795,949 11,387,848 5,693,924 2,846,962 1,423,481 4,270,444 2,135,222 1,067,611 3,202,834 1,601,417 4,804,252 2,402,126 1,201,063 3,603,190 1,801,595 5,404,786 2,702,393 8,107,180 4,053,590 2,026,795 6,080,386 3,040,193 9,120,580 4,560,290 2,280,145 6,840,436 3,420,218 1,710,109 5,130,328 2,565,164 1,282,582 641,291 1,923,874 961,937 2,885,812 1,442,906 721,453 2,164,360 1,082,180 541,090 270,545 811,636 405,818 202,909 608,728 304,364 152,182 76,091 228,274 114,137 342,412 171,206 85,603

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