λ
Prime Ledger

137,954

2 × 23 × 2999
Deficient Even Composite

137,954 has the prime decomposition 2 × 23 × 2999. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 2999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 216,000
Proper Divisor Sum 78,046
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #137947 ← → #137957

Radix Representation

Decimal 137954
Binary 100001101011100010 (18 bits)
Octal 0o415342
Hexadecimal 0x21AE2

Divisor Catalog (8)

1 2 23 46 2,999 5,998 68,977 137,954

Collatz Trajectory (175 steps to reach 1)

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

137,954 68,977 206,932 103,466 51,733 155,200 77,600 38,800 19,400 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175

More profiles

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