110,560

2⁵ × 5 × 691

110,560 is even and not a perfect square. Its factorization is 2^5 × 5 × 691 and its 24 divisors sum to 261,576.

Prime Factor Structure

Factorization String 2^5 × 5 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 261,576

Proper Divisor Sum 151,016

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #110557 ← → #110563

Radix Representation

Decimal	110560
Binary	11010111111100000 (17 bits)
Octal	0o327740
Hexadecimal	0x1AFE0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 691 1,382 2,764 3,455 5,528 6,910 11,056 13,820 22,112 27,640 55,280 110,560

Collatz Trajectory (61 steps to reach 1)

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

110,560 55,280 27,640 13,820 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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