λ
Prime Ledger

1,117,105

5 × 11 × 19 × 1069
Deficient Odd Composite

1,117,105 has the prime decomposition 5 × 11 × 19 × 1069. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 19 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,540,800
Proper Divisor Sum 423,695
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1117099 ← → #1117111

Radix Representation

Decimal 1117105
Binary 100010000101110110001 (21 bits)
Octal 0o4205661
Hexadecimal 0x110BB1

Divisor Catalog (16)

1 5 11 19 55 95 209 1,045 1,069 5,345 11,759 20,311 58,795 101,555 223,421 1,117,105

Collatz Trajectory (147 steps to reach 1)

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

1,117,105 3,351,316 1,675,658 837,829 2,513,488 1,256,744 628,372 314,186 157,093 471,280 235,640 117,820 58,910 29,455 88,366 44,183 132,550 66,275 198,826 99,413 298,240 149,120 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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