λ
Sequence Observatory

565,381

565381
Deficient Odd Prime

Starting at 565,381, the Collatz iteration reaches 1 after 84 steps. The first transition is 1696144; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 565381
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 565,382
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #565379 ← → #565387

Radix Representation

Decimal 565381
Binary 10001010000010000101 (20 bits)
Octal 0o2120205
Hexadecimal 0x8A085

Divisor Catalog (2)

1 565,381

Collatz Trajectory (84 steps to reach 1)

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

565,381 1,696,144 848,072 424,036 212,018 106,009 318,028 159,014 79,507 238,522 119,261 357,784 178,892 89,446 44,723 134,170 67,085 201,256 100,628 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100

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