λ
Integer Codex

7,087,338

2 × 36 × 4861
Abundant Even Composite

For 7,087,338, the 28 positive divisors have a total of 15,942,498. Removing 7,087,338 leaves 8,855,160, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^6 × 4861
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 15,942,498
Proper Divisor Sum 8,855,160
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7087331 ← → #7087349

Radix Representation

Decimal 7087338
Binary 11011000010010011101010 (23 bits)
Octal 0o33022352
Hexadecimal 0x6C24EA

Divisor Catalog (28)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 4,861 9,722 14,583 29,166 43,749 87,498 131,247 262,494 393,741 787,482 1,181,223 2,362,446 3,543,669 7,087,338

Collatz Trajectory (222 steps to reach 1)

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

7,087,338 3,543,669 10,631,008 5,315,504 2,657,752 1,328,876 664,438 332,219 996,658 498,329 1,494,988 747,494 373,747 1,121,242 560,621 1,681,864 840,932 420,466 210,233 630,700 315,350 157,675 473,026 236,513 709,540 354,770 177,385 532,156 266,078 133,039 399,118 199,559 598,678 299,339 898,018 449,009 1,347,028 673,514 336,757 1,010,272 505,136 252,568 126,284 63,142 31,571 94,714 47,357 142,072 71,036 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728

More profiles

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