λ
Prime Ledger

116,373

3 × 38791
Deficient Odd Composite

116,373 has the prime decomposition 3 × 38791. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 38791
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 155,168
Proper Divisor Sum 38,795
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #116371 ← → #116381

Radix Representation

Decimal 116373
Binary 11100011010010101 (17 bits)
Octal 0o343225
Hexadecimal 0x1C695

Divisor Catalog (4)

1 3 38,791 116,373

Collatz Trajectory (136 steps to reach 1)

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

116,373 349,120 174,560 87,280 43,640 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

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