λ
Sequence Observatory

562,673

562673
Deficient Odd Prime

Starting at 562,673, the Collatz iteration reaches 1 after 133 steps. The first transition is 1688020; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 562673
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 562,674
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #562669 ← → #562691

Radix Representation

Decimal 562673
Binary 10001001010111110001 (20 bits)
Octal 0o2112761
Hexadecimal 0x895F1

Divisor Catalog (2)

Collatz Trajectory (133 steps to reach 1)

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

562,673 1,688,020 844,010 422,005 1,266,016 633,008 316,504 158,252 79,126 39,563 118,690 59,345 178,036 89,018 44,509 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577

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