λ
Harmonic Matrix

6,982,056

23 × 32 × 96973
Abundant Even Composite

6,982,056 has digital root 9. The neighboring primes are 6982051 and 6982057; its proper-divisor sum differs from the starting integer by 4,945,818.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 96973
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,909,930
Proper Divisor Sum 11,927,874
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6982051 ← → #6982057

Radix Representation

Decimal 6982056
Binary 11010101000100110101000 (23 bits)
Octal 0o32504650
Hexadecimal 0x6A89A8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 96,973 193,946 290,919 387,892 581,838 775,784 872,757 1,163,676 1,745,514 2,327,352 3,491,028 6,982,056

Collatz Trajectory (46 steps to reach 1)

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

6,982,056 3,491,028 1,745,514 872,757 2,618,272 1,309,136 654,568 327,284 163,642 81,821 245,464 122,732 61,366 30,683 92,050 46,025 138,076 69,038 34,519 103,558 51,779 155,338 77,669 233,008 116,504 58,252 29,126 14,563 43,690 21,845 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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