λ
Integer Codex

55,589

55589
Deficient Odd Prime

For 55,589, the 2 positive divisors have a total of 55,590. Removing 55,589 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 55589
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 55,590
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #55579 ← → #55603

Radix Representation

Decimal 55589
Binary 1101100100100101 (16 bits)
Octal 0o154445
Hexadecimal 0xD925

Divisor Catalog (2)

1 55,589

Collatz Trajectory (140 steps to reach 1)

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

55,589 166,768 83,384 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119

More profiles

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