λ
Integer Codex

1,308,006

2 × 32 × 72 × 1483
Abundant Even Composite

For 1,308,006, the 36 positive divisors have a total of 3,298,932. Removing 1,308,006 leaves 1,990,926, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,298,932
Proper Divisor Sum 1,990,926
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1307993 ← → #1308011

Radix Representation

Decimal 1308006
Binary 100111111010101100110 (21 bits)
Octal 0o4772546
Hexadecimal 0x13F566

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1,483 2,966 4,449 8,898 10,381 13,347 20,762 26,694 31,143 62,286 72,667 93,429 145,334 186,858 218,001 436,002 654,003 1,308,006

Collatz Trajectory (186 steps to reach 1)

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

1,308,006 654,003 1,962,010 981,005 2,943,016 1,471,508 735,754 367,877 1,103,632 551,816 275,908 137,954 68,977 206,932 103,466 51,733 155,200 77,600 38,800 19,400 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823

More profiles

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