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Atlas › Integer Profiles › Node 5,778,504

5,778,504

23 × 32 × 17 × 4721
Abundant Even Composite

5,778,504 factors as 2^3 × 3^2 × 17 × 4721. Its 48 positive divisors give a proper-divisor sum of 10,795,716, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 4721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,574,220
Proper Divisor Sum 10,795,716
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5778491 ← → #5778517

Radix Representation

Decimal 5778504
Binary 10110000010110001001000 (23 bits)
Octal 0o26026110
Hexadecimal 0x582C48

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 4,721 9,442 14,163 18,884 28,326 37,768 42,489 56,652 80,257 84,978 113,304 160,514 169,956 240,771 321,028 339,912 481,542 642,056 722,313 963,084 1,444,626 1,926,168 2,889,252 5,778,504

Collatz Trajectory (121 steps to reach 1)

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

5,778,504 2,889,252 1,444,626 722,313 2,166,940 1,083,470 541,735 1,625,206 812,603 2,437,810 1,218,905 3,656,716 1,828,358 914,179 2,742,538 1,371,269 4,113,808 2,056,904 1,028,452 514,226 257,113 771,340 385,670 192,835 578,506 289,253 867,760 433,880 216,940 108,470 54,235 162,706 81,353 244,060 122,030 61,015 183,046 91,523 274,570 137,285 411,856 205,928 102,964 51,482 25,741 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

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