λ
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950,406

2 × 3 × 23 × 71 × 97
Abundant Even Composite

950,406 factors as 2 × 3 × 23 × 71 × 97. Its 32 positive divisors give a proper-divisor sum of 1,081,722, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 71 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,032,128
Proper Divisor Sum 1,081,722
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #950401 ← → #950423

Radix Representation

Decimal 950406
Binary 11101000000010000110 (20 bits)
Octal 0o3500206
Hexadecimal 0xE8086

Divisor Catalog (32)

1 2 3 6 23 46 69 71 97 138 142 194 213 291 426 582 1,633 2,231 3,266 4,462 4,899 6,693 6,887 9,798 13,386 13,774 20,661 41,322 158,401 316,802 475,203 950,406

Collatz Trajectory (82 steps to reach 1)

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

950,406 475,203 1,425,610 712,805 2,138,416 1,069,208 534,604 267,302 133,651 400,954 200,477 601,432 300,716 150,358 75,179 225,538 112,769 338,308 169,154 84,577 253,732 126,866 63,433 190,300 95,150 47,575 142,726 71,363 214,090 107,045 321,136 160,568 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029

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