λ
Prime Ledger

111,013

7 × 15859
Deficient Odd Composite

111,013 has the prime decomposition 7 × 15859. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 15859
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 126,880
Proper Divisor Sum 15,867
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #110989 ← → #111029

Radix Representation

Decimal 111013
Binary 11011000110100101 (17 bits)
Octal 0o330645
Hexadecimal 0x1B1A5

Divisor Catalog (4)

1 7 15,859 111,013

Collatz Trajectory (115 steps to reach 1)

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

111,013 333,040 166,520 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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