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Atlas › Integer Profiles › Node 5,884,780

5,884,780

22 × 5 × 11 × 23 × 1163
Abundant Even Composite

5,884,780 factors as 2^2 × 5 × 11 × 23 × 1163. Its 48 positive divisors give a proper-divisor sum of 8,194,964, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 23 × 1163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,079,744
Proper Divisor Sum 8,194,964
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5884777 ← → #5884787

Radix Representation

Decimal 5884780
Binary 10110011100101101101100 (23 bits)
Octal 0o26345554
Hexadecimal 0x59CB6C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1,012 1,163 1,265 2,326 2,530 4,652 5,060 5,815 11,630 12,793 23,260 25,586 26,749 51,172 53,498 63,965 106,996 127,930 133,745 255,860 267,490 294,239 534,980 588,478 1,176,956 1,471,195 2,942,390 5,884,780

Collatz Trajectory (214 steps to reach 1)

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

5,884,780 2,942,390 1,471,195 4,413,586 2,206,793 6,620,380 3,310,190 1,655,095 4,965,286 2,482,643 7,447,930 3,723,965 11,171,896 5,585,948 2,792,974 1,396,487 4,189,462 2,094,731 6,284,194 3,142,097 9,426,292 4,713,146 2,356,573 7,069,720 3,534,860 1,767,430 883,715 2,651,146 1,325,573 3,976,720 1,988,360 994,180 497,090 248,545 745,636 372,818 186,409 559,228 279,614 139,807 419,422 209,711 629,134 314,567 943,702 471,851 1,415,554 707,777 2,123,332 1,061,666 530,833 1,592,500 796,250 398,125 1,194,376 597,188 298,594 149,297 447,892 223,946

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