26,112

2⁹ × 3 × 17

Prime Factor Structure

Factorization String 2^9 × 3 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 73,656

Proper Divisor Sum 47,544

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #26111 ← → #26113

Radix Representation

Decimal	26112
Binary	110011000000000 (15 bits)
Octal	0o63000
Hexadecimal	0x6600

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1,088 1,536 1,632 2,176 3,264 4,352 6,528 8,704 13,056 26,112

Collatz Trajectory (33 steps to reach 1)

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

26,112 13,056 6,528 3,264 1,632 816 408 204 102 51 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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