71,938

2 × 35969

Starting at 71,938, the Collatz iteration reaches 1 after 218 steps. The first transition is 35969; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 35969

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 107,910

Proper Divisor Sum 35,972

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #71933 ← → #71941

Radix Representation

Decimal	71938
Binary	10001100100000010 (17 bits)
Octal	0o214402
Hexadecimal	0x11902

Divisor Catalog (4)

1 2 35,969 71,938

Collatz Trajectory (218 steps to reach 1)

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

71,938 35,969 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433

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