λ
Sequence Observatory

271,905

3 × 5 × 18127
Deficient Odd Composite

Starting at 271,905, the Collatz iteration reaches 1 after 88 steps. The first transition is 815716; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 18127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 435,072
Proper Divisor Sum 163,167
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #271903 ← → #271919

Radix Representation

Decimal 271905
Binary 1000010011000100001 (19 bits)
Octal 0o1023041
Hexadecimal 0x42621

Divisor Catalog (8)

1 3 5 15 18,127 54,381 90,635 271,905

Collatz Trajectory (88 steps to reach 1)

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

271,905 815,716 407,858 203,929 611,788 305,894 152,947 458,842 229,421 688,264 344,132 172,066 86,033 258,100 129,050 64,525 193,576 96,788 48,394 24,197 72,592 36,296 18,148 9,074 4,537 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

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