111,012

2² × 3 × 11 × 29²

111,012 factors as 2^2 × 3 × 11 × 29^2. Its 36 positive divisors give a proper-divisor sum of 181,644, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 29^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 292,656

Proper Divisor Sum 181,644

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #110989 ← → #111029

Radix Representation

Decimal	111012
Binary	11011000110100100 (17 bits)
Octal	0o330644
Hexadecimal	0x1B1A4

Divisor Catalog (36)

1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 841 957 1,276 1,682 1,914 2,523 3,364 3,828 5,046 9,251 10,092 18,502 27,753 37,004 55,506 111,012

Collatz Trajectory (115 steps to reach 1)

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

111,012 55,506 27,753 83,260 41,630 20,815 62,446 31,223 93,670 46,835 140,506 70,253 210,760 105,380 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116

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