λ
Prime Ledger

117,057

3 × 39019
Deficient Odd Composite

117,057 has the prime decomposition 3 × 39019. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 39019
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 156,080
Proper Divisor Sum 39,023
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #117053 ← → #117071

Radix Representation

Decimal 117057
Binary 11100100101000001 (17 bits)
Octal 0o344501
Hexadecimal 0x1C941

Divisor Catalog (4)

1 3 39,019 117,057

Collatz Trajectory (123 steps to reach 1)

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

117,057 351,172 175,586 87,793 263,380 131,690 65,845 197,536 98,768 49,384 24,692 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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