λ
Integer Codex

597,689

597689
Deficient Odd Prime

For 597,689, the 2 positive divisors have a total of 597,690. Removing 597,689 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 597689
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 597,690
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #597679 ← → #597697

Radix Representation

Decimal 597689
Binary 10010001111010111001 (20 bits)
Octal 0o2217271
Hexadecimal 0x91EB9

Divisor Catalog (2)

Collatz Trajectory (141 steps to reach 1)

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

597,689 1,793,068 896,534 448,267 1,344,802 672,401 2,017,204 1,008,602 504,301 1,512,904 756,452 378,226 189,113 567,340 283,670 141,835 425,506 212,753 638,260 319,130 159,565 478,696 239,348 119,674 59,837 179,512 89,756 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484

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