110,755

5 × 17 × 1303

110,755 factors as 5 × 17 × 1303. Its 8 positive divisors give a proper-divisor sum of 30,077, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 5 × 17 × 1303

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 140,832

Proper Divisor Sum 30,077

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #110753 ← → #110771

Radix Representation

Decimal	110755
Binary	11011000010100011 (17 bits)
Octal	0o330243
Hexadecimal	0x1B0A3

Divisor Catalog (8)

1 5 17 85 1,303 6,515 22,151 110,755

Collatz Trajectory (79 steps to reach 1)

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

110,755 332,266 166,133 498,400 249,200 124,600 62,300 31,150 15,575 46,726 23,363 70,090 35,045 105,136 52,568 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704

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