λ
Integer Codex

6,876,378

2 × 32 × 382021
Abundant Even Composite

For 6,876,378, the 12 positive divisors have a total of 14,898,858. Removing 6,876,378 leaves 8,022,480, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 382021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,898,858
Proper Divisor Sum 8,022,480
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6876377 ← → #6876403

Radix Representation

Decimal 6876378
Binary 11010001110110011011010 (23 bits)
Octal 0o32166332
Hexadecimal 0x68ECDA

Divisor Catalog (12)

1 2 3 6 9 18 382,021 764,042 1,146,063 2,292,126 3,438,189 6,876,378

Collatz Trajectory (209 steps to reach 1)

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

6,876,378 3,438,189 10,314,568 5,157,284 2,578,642 1,289,321 3,867,964 1,933,982 966,991 2,900,974 1,450,487 4,351,462 2,175,731 6,527,194 3,263,597 9,790,792 4,895,396 2,447,698 1,223,849 3,671,548 1,835,774 917,887 2,753,662 1,376,831 4,130,494 2,065,247 6,195,742 3,097,871 9,293,614 4,646,807 13,940,422 6,970,211 20,910,634 10,455,317 31,365,952 15,682,976 7,841,488 3,920,744 1,960,372 980,186 490,093 1,470,280 735,140 367,570 183,785 551,356 275,678 137,839 413,518 206,759 620,278 310,139 930,418 465,209 1,395,628 697,814 348,907 1,046,722 523,361 1,570,084

More profiles

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