λ
Prime Ledger

127,437

3 × 107 × 397
Deficient Odd Composite

127,437 has the prime decomposition 3 × 107 × 397. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 107 × 397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 171,936
Proper Divisor Sum 44,499
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #127423 ← → #127447

Radix Representation

Decimal 127437
Binary 11111000111001101 (17 bits)
Octal 0o370715
Hexadecimal 0x1F1CD

Divisor Catalog (8)

1 3 107 321 397 1,191 42,479 127,437

Collatz Trajectory (100 steps to reach 1)

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

127,437 382,312 191,156 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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