5,776,520

2³ × 5 × 144413

5,776,520 factors as 2^3 × 5 × 144413. Its 16 positive divisors give a proper-divisor sum of 7,220,740, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 144413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,997,260

Proper Divisor Sum 7,220,740

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5776483 ← → #5776579

Radix Representation

Decimal	5776520
Binary	10110000010010010001000 (23 bits)
Octal	0o26022210
Hexadecimal	0x582488

Divisor Catalog (16)

1 2 4 5 8 10 20 40 144,413 288,826 577,652 722,065 1,155,304 1,444,130 2,888,260 5,776,520

Collatz Trajectory (108 steps to reach 1)

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

5,776,520 2,888,260 1,444,130 722,065 2,166,196 1,083,098 541,549 1,624,648 812,324 406,162 203,081 609,244 304,622 152,311 456,934 228,467 685,402 342,701 1,028,104 514,052 257,026 128,513 385,540 192,770 96,385 289,156 144,578 72,289 216,868 108,434 54,217 162,652 81,326 40,663 121,990 60,995 182,986 91,493 274,480 137,240 68,620 34,310 17,155 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018

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