112,128

2⁹ × 3 × 73

112,128 is even and not a perfect square. Its factorization is 2^9 × 3 × 73 and its 40 divisors sum to 302,808.

Prime Factor Structure

Factorization String 2^9 × 3 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 302,808

Proper Divisor Sum 190,680

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #112121 ← → #112129

Radix Representation

Decimal	112128
Binary	11011011000000000 (17 bits)
Octal	0o333000
Hexadecimal	0x1B600

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1,168 1,536 1,752 2,336 3,504 4,672 7,008 9,344 14,016 18,688 28,032 37,376 56,064 112,128

Collatz Trajectory (61 steps to reach 1)

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

112,128 56,064 28,032 14,016 7,008 3,504 1,752 876 438 219 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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