λ
Sequence Observatory

57,271

57271
Deficient Odd Prime

Starting at 57,271, the Collatz iteration reaches 1 after 52 steps. The first transition is 171814; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 57271
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 57,272
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #57269 ← → #57283

Radix Representation

Decimal 57271
Binary 1101111110110111 (16 bits)
Octal 0o157667
Hexadecimal 0xDFB7

Divisor Catalog (2)

1 57,271

Collatz Trajectory (52 steps to reach 1)

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

57,271 171,814 85,907 257,722 128,861 386,584 193,292 96,646 48,323 144,970 72,485 217,456 108,728 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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