50,004,864

2⁷ × 3⁴ × 7 × 13 × 53

50,004,864 factors as 2^7 × 3^4 × 7 × 13 × 53. Its 320 positive divisors give a proper-divisor sum of 136,606,176, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^7 × 3^4 × 7 × 13 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 320

Divisor Sum (σ) 186,611,040

Proper Divisor Sum 136,606,176

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #50004859 ← → #50004883

Radix Representation

Decimal	50004864
Binary	10111110110000001110000000 (26 bits)
Octal	0o276601600
Hexadecimal	0x2FB0380

Divisor Catalog (60 of 320)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 53 54 56 63 64 72 78 81 84 91 96 104 106 108 112 117 126 128 144 156 159 162 168 182 189 192 208 212 216 224 234 252 273 288 312 318

Collatz Trajectory (80 steps to reach 1)

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

50,004,864 25,002,432 12,501,216 6,250,608 3,125,304 1,562,652 781,326 390,663 1,171,990 585,995 1,757,986 878,993 2,636,980 1,318,490 659,245 1,977,736 988,868 494,434 247,217 741,652 370,826 185,413 556,240 278,120 139,060 69,530 34,765 104,296 52,148 26,074 13,037 39,112 19,556 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #50,004,863 Browse Full Index Next Integer #50,004,865 →