λ
Sequence Observatory

71,319

3 × 23773
Deficient Odd Composite

Starting at 71,319, the Collatz iteration reaches 1 after 50 steps. The first transition is 213958; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 23773
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 95,096
Proper Divisor Sum 23,777
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #71317 ← → #71327

Radix Representation

Decimal 71319
Binary 10001011010010111 (17 bits)
Octal 0o213227
Hexadecimal 0x11697

Divisor Catalog (4)

1 3 23,773 71,319

Collatz Trajectory (50 steps to reach 1)

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

71,319 213,958 106,979 320,938 160,469 481,408 240,704 120,352 60,176 30,088 15,044 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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