λ
Integer Codex

7,017,388

22 × 72 × 35803
Abundant Even Composite

For 7,017,388, the 18 positive divisors have a total of 14,285,796. Removing 7,017,388 leaves 7,268,408, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 35803
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 14,285,796
Proper Divisor Sum 7,268,408
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7017347 ← → #7017389

Radix Representation

Decimal 7017388
Binary 11010110001001110101100 (23 bits)
Octal 0o32611654
Hexadecimal 0x6B13AC

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 35,803 71,606 143,212 250,621 501,242 1,002,484 1,754,347 3,508,694 7,017,388

Collatz Trajectory (147 steps to reach 1)

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

7,017,388 3,508,694 1,754,347 5,263,042 2,631,521 7,894,564 3,947,282 1,973,641 5,920,924 2,960,462 1,480,231 4,440,694 2,220,347 6,661,042 3,330,521 9,991,564 4,995,782 2,497,891 7,493,674 3,746,837 11,240,512 5,620,256 2,810,128 1,405,064 702,532 351,266 175,633 526,900 263,450 131,725 395,176 197,588 98,794 49,397 148,192 74,096 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240

More profiles

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