λ
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Atlas › Integer Profiles › Node 602,346

602,346

2 × 3 × 100391
Abundant Even Composite

Starting at 602,346, the Collatz iteration reaches 1 after 66 steps. The first transition is 301173; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 100391
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,204,704
Proper Divisor Sum 602,358
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #602341 ← → #602351

Radix Representation

Decimal 602346
Binary 10010011000011101010 (20 bits)
Octal 0o2230352
Hexadecimal 0x930EA

Divisor Catalog (8)

1 2 3 6 100,391 200,782 301,173 602,346

Collatz Trajectory (66 steps to reach 1)

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

602,346 301,173 903,520 451,760 225,880 112,940 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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