λ
Ratio Atlas

597,209

597209
Deficient Odd Prime

597,209 factors as 597209. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 597209
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 597,210
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #597169 ← → #597221

Radix Representation

Decimal 597209
Binary 10010001110011011001 (20 bits)
Octal 0o2216331
Hexadecimal 0x91CD9

Divisor Catalog (2)

1 597,209

Collatz Trajectory (128 steps to reach 1)

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

597,209 1,791,628 895,814 447,907 1,343,722 671,861 2,015,584 1,007,792 503,896 251,948 125,974 62,987 188,962 94,481 283,444 141,722 70,861 212,584 106,292 53,146 26,573 79,720 39,860 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760

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