λ
Prime Ledger

123,713

193 × 641
Deficient Odd Composite

123,713 has the prime decomposition 193 × 641. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 193 × 641
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 124,548
Proper Divisor Sum 835
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #123707 ← → #123719

Radix Representation

Decimal 123713
Binary 11110001101000001 (17 bits)
Octal 0o361501
Hexadecimal 0x1E341

Divisor Catalog (4)

1 193 641 123,713

Collatz Trajectory (149 steps to reach 1)

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

123,713 371,140 185,570 92,785 278,356 139,178 69,589 208,768 104,384 52,192 26,096 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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