48,718,656

2⁶ × 3² × 7 × 43 × 281

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 43 × 281

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 163,884,864

Proper Divisor Sum 115,166,208

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #48718643 ← → #48718697

Radix Representation

Decimal	48718656
Binary	10111001110110001101000000 (26 bits)
Octal	0o271661500
Hexadecimal	0x2E76340

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 64 72 84 86 96 112 126 129 144 168 172 192 224 252 258 281 288 301 336 344 387 448 504 516 562 576 602 672 688 774 843 903 1,008 1,032 1,124 1,204 1,344 1,376

Collatz Trajectory (155 steps to reach 1)

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

48,718,656 24,359,328 12,179,664 6,089,832 3,044,916 1,522,458 761,229 2,283,688 1,141,844 570,922 285,461 856,384 428,192 214,096 107,048 53,524 26,762 13,381 40,144 20,072 10,036 5,018 2,509 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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