5,778,540

2² × 3⁵ × 5 × 29 × 41

5,778,540 factors as 2^2 × 3^5 × 5 × 29 × 41. Its 144 positive divisors give a proper-divisor sum of 13,484,340, so this integer is abundant. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5 × 29 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 19,262,880

Proper Divisor Sum 13,484,340

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5778529 ← → #5778551

Radix Representation

Decimal	5778540
Binary	10110000010110001101100 (23 bits)
Octal	0o26026154
Hexadecimal	0x582C6C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 41 45 54 58 60 81 82 87 90 108 116 123 135 145 162 164 174 180 205 243 246 261 270 290 324 348 369 405 410 435 486 492 522 540 580 615 738 783 810 820 870 972 1,044 1,107

Collatz Trajectory (276 steps to reach 1)

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

5,778,540 2,889,270 1,444,635 4,333,906 2,166,953 6,500,860 3,250,430 1,625,215 4,875,646 2,437,823 7,313,470 3,656,735 10,970,206 5,485,103 16,455,310 8,227,655 24,682,966 12,341,483 37,024,450 18,512,225 55,536,676 27,768,338 13,884,169 41,652,508 20,826,254 10,413,127 31,239,382 15,619,691 46,859,074 23,429,537 70,288,612 35,144,306 17,572,153 52,716,460 26,358,230 13,179,115 39,537,346 19,768,673 59,306,020 29,653,010 14,826,505 44,479,516 22,239,758 11,119,879 33,359,638 16,679,819 50,039,458 25,019,729 75,059,188 37,529,594 18,764,797 56,294,392 28,147,196 14,073,598 7,036,799 21,110,398 10,555,199 31,665,598 15,832,799 47,498,398

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