597,650

2 × 5² × 11953

Starting at 597,650, the Collatz iteration reaches 1 after 141 steps. The first transition is 298825; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 11953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,111,722

Proper Divisor Sum 514,072

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #597643 ← → #597659

Radix Representation

Decimal	597650
Binary	10010001111010010010 (20 bits)
Octal	0o2217222
Hexadecimal	0x91E92

Divisor Catalog (12)

1 2 5 10 25 50 11,953 23,906 59,765 119,530 298,825 597,650

Collatz Trajectory (141 steps to reach 1)

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

597,650 298,825 896,476 448,238 224,119 672,358 336,179 1,008,538 504,269 1,512,808 756,404 378,202 189,101 567,304 283,652 141,826 70,913 212,740 106,370 53,185 159,556 79,778 39,889 119,668 59,834 29,917 89,752 44,876 22,438 11,219 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751

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