λ
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Atlas › Integer Profiles › Node 666,402

666,402

2 × 3 × 11 × 23 × 439
Abundant Even Composite

666,402 factors as 2 × 3 × 11 × 23 × 439. Its 32 positive divisors give a proper-divisor sum of 854,238, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 23 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,520,640
Proper Divisor Sum 854,238
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #666353 ← → #666403

Radix Representation

Decimal 666402
Binary 10100010101100100010 (20 bits)
Octal 0o2425442
Hexadecimal 0xA2B22

Divisor Catalog (32)

1 2 3 6 11 22 23 33 46 66 69 138 253 439 506 759 878 1,317 1,518 2,634 4,829 9,658 10,097 14,487 20,194 28,974 30,291 60,582 111,067 222,134 333,201 666,402

Collatz Trajectory (154 steps to reach 1)

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

666,402 333,201 999,604 499,802 249,901 749,704 374,852 187,426 93,713 281,140 140,570 70,285 210,856 105,428 52,714 26,357 79,072 39,536 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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