λ
Integer Codex

6,714,006

2 × 3 × 13 × 86077
Abundant Even Composite

For 6,714,006, the 16 positive divisors have a total of 14,461,104. Removing 6,714,006 leaves 7,747,098, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 86077
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,461,104
Proper Divisor Sum 7,747,098
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6713989 ← → #6714007

Radix Representation

Decimal 6714006
Binary 11001100111001010010110 (23 bits)
Octal 0o31471226
Hexadecimal 0x667296

Divisor Catalog (16)

1 2 3 6 13 26 39 78 86,077 172,154 258,231 516,462 1,119,001 2,238,002 3,357,003 6,714,006

Collatz Trajectory (134 steps to reach 1)

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

6,714,006 3,357,003 10,071,010 5,035,505 15,106,516 7,553,258 3,776,629 11,329,888 5,664,944 2,832,472 1,416,236 708,118 354,059 1,062,178 531,089 1,593,268 796,634 398,317 1,194,952 597,476 298,738 149,369 448,108 224,054 112,027 336,082 168,041 504,124 252,062 126,031 378,094 189,047 567,142 283,571 850,714 425,357 1,276,072 638,036 319,018 159,509 478,528 239,264 119,632 59,816 29,908 14,954 7,477 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186

More profiles

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