λ
Prime Ledger

377,271

33 × 89 × 157
Deficient Odd Composite

377,271 has the prime decomposition 3^3 × 89 × 157. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 89 × 157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 568,800
Proper Divisor Sum 191,529
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #377263 ← → #377287

Radix Representation

Decimal 377271
Binary 1011100000110110111 (19 bits)
Octal 0o1340667
Hexadecimal 0x5C1B7

Divisor Catalog (16)

1 3 9 27 89 157 267 471 801 1,413 2,403 4,239 13,973 41,919 125,757 377,271

Collatz Trajectory (148 steps to reach 1)

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

377,271 1,131,814 565,907 1,697,722 848,861 2,546,584 1,273,292 636,646 318,323 954,970 477,485 1,432,456 716,228 358,114 179,057 537,172 268,586 134,293 402,880 201,440 100,720 50,360 25,180 12,590 6,295 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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