λ
Prime Ledger

71,361

34 × 881
Deficient Odd Composite

71,361 has the prime decomposition 3^4 × 881. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 881
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 106,722
Proper Divisor Sum 35,361
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #71359 ← → #71363

Radix Representation

Decimal 71361
Binary 10001011011000001 (17 bits)
Octal 0o213301
Hexadecimal 0x116C1

Divisor Catalog (10)

1 3 9 27 81 881 2,643 7,929 23,787 71,361

Collatz Trajectory (50 steps to reach 1)

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

71,361 214,084 107,042 53,521 160,564 80,282 40,141 120,424 60,212 30,106 15,053 45,160 22,580 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 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

More profiles

← Previous Integer #71,360 Browse Full Index Next Integer #71,362 →