137,841

3 × 11 × 4177

137,841 has the prime decomposition 3 × 11 × 4177. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 4177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 200,544

Proper Divisor Sum 62,703

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #137831 ← → #137849

Radix Representation

Decimal	137841
Binary	100001101001110001 (18 bits)
Octal	0o415161
Hexadecimal	0x21A71

Divisor Catalog (8)

1 3 11 33 4,177 12,531 45,947 137,841

Collatz Trajectory (82 steps to reach 1)

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

137,841 413,524 206,762 103,381 310,144 155,072 77,536 38,768 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148

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