5,048,784

2⁴ × 3³ × 13 × 29 × 31

5,048,784 is even and not a perfect square. Its factorization is 2^4 × 3^3 × 13 × 29 × 31 and its 160 divisors sum to 16,665,600.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 16,665,600

Proper Divisor Sum 11,616,816

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5048783 ← → #5048801

Radix Representation

Decimal	5048784
Binary	10011010000100111010000 (23 bits)
Octal	0o23204720
Hexadecimal	0x4D09D0

Divisor Catalog (60 of 160)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 31 36 39 48 52 54 58 62 72 78 87 93 104 108 116 117 124 144 156 174 186 208 216 232 234 248 261 279 312 348 351 372 377 403 432 464 468 496 522 558 624 696 702 744 754

Collatz Trajectory (69 steps to reach 1)

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

5,048,784 2,524,392 1,262,196 631,098 315,549 946,648 473,324 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26

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