λ
Harmonic Matrix

6,876,798

2 × 3 × 1146133
Abundant Even Composite

6,876,798 has digital root 6. The neighboring primes are 6876791 and 6876809; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1146133
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,753,608
Proper Divisor Sum 6,876,810
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #6876791 ← → #6876809

Radix Representation

Decimal 6876798
Binary 11010001110111001111110 (23 bits)
Octal 0o32167176
Hexadecimal 0x68EE7E

Divisor Catalog (8)

1 2 3 6 1,146,133 2,292,266 3,438,399 6,876,798

Collatz Trajectory (129 steps to reach 1)

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

6,876,798 3,438,399 10,315,198 5,157,599 15,472,798 7,736,399 23,209,198 11,604,599 34,813,798 17,406,899 52,220,698 26,110,349 78,331,048 39,165,524 19,582,762 9,791,381 29,374,144 14,687,072 7,343,536 3,671,768 1,835,884 917,942 458,971 1,376,914 688,457 2,065,372 1,032,686 516,343 1,549,030 774,515 2,323,546 1,161,773 3,485,320 1,742,660 871,330 435,665 1,306,996 653,498 326,749 980,248 490,124 245,062 122,531 367,594 183,797 551,392 275,696 137,848 68,924 34,462 17,231 51,694 25,847 77,542 38,771 116,314 58,157 174,472 87,236 43,618

More profiles

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