107,048

2³ × 13381

107,048 is even and not a perfect square. Its factorization is 2^3 × 13381 and its 8 divisors sum to 200,730.

Prime Factor Structure

Factorization String 2^3 × 13381

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 200,730

Proper Divisor Sum 93,682

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #107033 ← → #107053

Radix Representation

Decimal	107048
Binary	11010001000101000 (17 bits)
Octal	0o321050
Hexadecimal	0x1A228

Divisor Catalog (8)

1 2 4 8 13,381 26,762 53,524 107,048

Collatz Trajectory (141 steps to reach 1)

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

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 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700

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