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Atlas › Integer Profiles › Node 83,076

83,076

22 × 3 × 7 × 23 × 43
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 236,544
Proper Divisor Sum 153,468
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #83071 ← → #83077

Radix Representation

Decimal 83076
Binary 10100010010000100 (17 bits)
Octal 0o242204
Hexadecimal 0x14484

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 23 28 42 43 46 69 84 86 92 129 138 161 172 258 276 301 322 483 516 602 644 903 966 989 1,204 1,806 1,932 1,978 2,967 3,612 3,956 5,934 6,923 11,868 13,846 20,769 27,692 41,538 83,076

Collatz Trajectory (89 steps to reach 1)

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

83,076 41,538 20,769 62,308 31,154 15,577 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

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