5,124,720

2⁴ × 3 × 5 × 131 × 163

5,124,720 has digital root 3. The neighboring primes are 5124683 and 5124761; its proper-divisor sum differs from the starting integer by 5,856,672.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 131 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 16,106,112

Proper Divisor Sum 10,981,392

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5124683 ← → #5124761

Radix Representation

Decimal	5124720
Binary	10011100011001001110000 (23 bits)
Octal	0o23431160
Hexadecimal	0x4E3270

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 163 240 262 326 393 489 524 652 655 786 815 978 1,048 1,304 1,310 1,572 1,630 1,956 1,965 2,096 2,445 2,608 2,620 3,144 3,260 3,912 3,930 4,890 5,240 6,288 6,520 7,824 7,860 9,780 10,480 13,040 15,720 19,560 21,353 31,440

Collatz Trajectory (144 steps to reach 1)

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

5,124,720 2,562,360 1,281,180 640,590 320,295 960,886 480,443 1,441,330 720,665 2,161,996 1,080,998 540,499 1,621,498 810,749 2,432,248 1,216,124 608,062 304,031 912,094 456,047 1,368,142 684,071 2,052,214 1,026,107 3,078,322 1,539,161 4,617,484 2,308,742 1,154,371 3,463,114 1,731,557 5,194,672 2,597,336 1,298,668 649,334 324,667 974,002 487,001 1,461,004 730,502 365,251 1,095,754 547,877 1,643,632 821,816 410,908 205,454 102,727 308,182 154,091 462,274 231,137 693,412 346,706 173,353 520,060 260,030 130,015 390,046 195,023

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