λ
Prime Ledger

257,357

41 × 6277
Deficient Odd Composite

257,357 has the prime decomposition 41 × 6277. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 6277
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 263,676
Proper Divisor Sum 6,319
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #257353 ← → #257371

Radix Representation

Decimal 257357
Binary 111110110101001101 (18 bits)
Octal 0o766515
Hexadecimal 0x3ED4D

Divisor Catalog (4)

1 41 6,277 257,357

Collatz Trajectory (150 steps to reach 1)

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

257,357 772,072 386,036 193,018 96,509 289,528 144,764 72,382 36,191 108,574 54,287 162,862 81,431 244,294 122,147 366,442 183,221 549,664 274,832 137,416 68,708 34,354 17,177 51,532 25,766 12,883 38,650 19,325 57,976 28,988 14,494 7,247 21,742 10,871 32,614 16,307 48,922 24,461 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274

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