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Atlas › Integer Profiles › Node 6,345,682

6,345,682

2 × 7 × 43 × 83 × 127
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 43 × 83 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,354,112
Proper Divisor Sum 5,008,430
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6345673 ← → #6345683

Radix Representation

Decimal 6345682
Binary 11000001101001111010010 (23 bits)
Octal 0o30151722
Hexadecimal 0x60D3D2

Divisor Catalog (32)

1 2 7 14 43 83 86 127 166 254 301 581 602 889 1,162 1,778 3,569 5,461 7,138 10,541 10,922 21,082 24,983 38,227 49,966 73,787 76,454 147,574 453,263 906,526 3,172,841 6,345,682

Collatz Trajectory (134 steps to reach 1)

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

6,345,682 3,172,841 9,518,524 4,759,262 2,379,631 7,138,894 3,569,447 10,708,342 5,354,171 16,062,514 8,031,257 24,093,772 12,046,886 6,023,443 18,070,330 9,035,165 27,105,496 13,552,748 6,776,374 3,388,187 10,164,562 5,082,281 15,246,844 7,623,422 3,811,711 11,435,134 5,717,567 17,152,702 8,576,351 25,729,054 12,864,527 38,593,582 19,296,791 57,890,374 28,945,187 86,835,562 43,417,781 130,253,344 65,126,672 32,563,336 16,281,668 8,140,834 4,070,417 12,211,252 6,105,626 3,052,813 9,158,440 4,579,220 2,289,610 1,144,805 3,434,416 1,717,208 858,604 429,302 214,651 643,954 321,977 965,932 482,966 241,483

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