λ
Prime Ledger

62,782

2 × 31391
Deficient Even Composite

62,782 has the prime decomposition 2 × 31391. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 31391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 94,176
Proper Divisor Sum 31,394
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #62773 ← → #62791

Radix Representation

Decimal 62782
Binary 1111010100111110 (16 bits)
Octal 0o172476
Hexadecimal 0xF53E

Divisor Catalog (4)

1 2 31,391 62,782

Collatz Trajectory (86 steps to reach 1)

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

62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568 50,284 25,142 12,571 37,714 18,857 56,572 28,286 14,143 42,430 21,215 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67

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