λ
Sequence Observatory

52,081

52081
Deficient Odd Prime

Starting at 52,081, the Collatz iteration reaches 1 after 78 steps. The first transition is 156244; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 52081
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 52,082
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #52069 ← → #52103

Radix Representation

Decimal 52081
Binary 1100101101110001 (16 bits)
Octal 0o145561
Hexadecimal 0xCB71

Divisor Catalog (2)

1 52,081

Collatz Trajectory (78 steps to reach 1)

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

52,081 156,244 78,122 39,061 117,184 58,592 29,296 14,648 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56

More profiles

← Previous Integer #52,080 Browse Full Index Next Integer #52,082 →