λ
Harmonic Matrix

6,983,478

2 × 32 × 387971
Abundant Even Composite

6,983,478 has digital root 9. The neighboring primes are 6983437 and 6983497; its proper-divisor sum differs from the starting integer by 1,163,952.

Prime Factor Structure

Factorization String 2 × 3^2 × 387971
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,130,908
Proper Divisor Sum 8,147,430
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6983437 ← → #6983497

Radix Representation

Decimal 6983478
Binary 11010101000111100110110 (23 bits)
Octal 0o32507466
Hexadecimal 0x6A8F36

Divisor Catalog (12)

1 2 3 6 9 18 387,971 775,942 1,163,913 2,327,826 3,491,739 6,983,478

Collatz Trajectory (191 steps to reach 1)

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

6,983,478 3,491,739 10,475,218 5,237,609 15,712,828 7,856,414 3,928,207 11,784,622 5,892,311 17,676,934 8,838,467 26,515,402 13,257,701 39,773,104 19,886,552 9,943,276 4,971,638 2,485,819 7,457,458 3,728,729 11,186,188 5,593,094 2,796,547 8,389,642 4,194,821 12,584,464 6,292,232 3,146,116 1,573,058 786,529 2,359,588 1,179,794 589,897 1,769,692 884,846 442,423 1,327,270 663,635 1,990,906 995,453 2,986,360 1,493,180 746,590 373,295 1,119,886 559,943 1,679,830 839,915 2,519,746 1,259,873 3,779,620 1,889,810 944,905 2,834,716 1,417,358 708,679 2,126,038 1,063,019 3,189,058 1,594,529

More profiles

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