599,326

2 × 7 × 13 × 37 × 89

Starting at 599,326, the Collatz iteration reaches 1 after 89 steps. The first transition is 299663; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 37 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,149,120

Proper Divisor Sum 549,794

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #599321 ← → #599341

Radix Representation

Decimal	599326
Binary	10010010010100011110 (20 bits)
Octal	0o2222436
Hexadecimal	0x9251E

Divisor Catalog (32)

1 2 7 13 14 26 37 74 89 91 178 182 259 481 518 623 962 1,157 1,246 2,314 3,293 3,367 6,586 6,734 8,099 16,198 23,051 42,809 46,102 85,618 299,663 599,326

Collatz Trajectory (89 steps to reach 1)

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

599,326 299,663 898,990 449,495 1,348,486 674,243 2,022,730 1,011,365 3,034,096 1,517,048 758,524 379,262 189,631 568,894 284,447 853,342 426,671 1,280,014 640,007 1,920,022 960,011 2,880,034 1,440,017 4,320,052 2,160,026 1,080,013 3,240,040 1,620,020 810,010 405,005 1,215,016 607,508 303,754 151,877 455,632 227,816 113,908 56,954 28,477 85,432 42,716 21,358 10,679 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802

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