597,809

37 × 107 × 151

597,809 factors as 37 × 107 × 151. Its 8 positive divisors give a proper-divisor sum of 25,999, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 37 × 107 × 151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 623,808

Proper Divisor Sum 25,999

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #597803 ← → #597823

Radix Representation

Decimal	597809
Binary	10010001111100110001 (20 bits)
Octal	0o2217461
Hexadecimal	0x91F31

Divisor Catalog (8)

1 37 107 151 3,959 5,587 16,157 597,809

Collatz Trajectory (159 steps to reach 1)

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

597,809 1,793,428 896,714 448,357 1,345,072 672,536 336,268 168,134 84,067 252,202 126,101 378,304 189,152 94,576 47,288 23,644 11,822 5,911 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107

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