λ
Harmonic Matrix

6,756,976

24 × 422311
Deficient Even Composite

6,756,976 has digital root 1. The neighboring primes are 6756961 and 6756979; its proper-divisor sum differs from the starting integer by -422,280.

Prime Factor Structure

Factorization String 2^4 × 422311
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 13,091,672
Proper Divisor Sum 6,334,696
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6756961 ← → #6756979

Radix Representation

Decimal 6756976
Binary 11001110001101001110000 (23 bits)
Octal 0o31615160
Hexadecimal 0x671A70

Divisor Catalog (10)

1 2 4 8 16 422,311 844,622 1,689,244 3,378,488 6,756,976

Collatz Trajectory (134 steps to reach 1)

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

6,756,976 3,378,488 1,689,244 844,622 422,311 1,266,934 633,467 1,900,402 950,201 2,850,604 1,425,302 712,651 2,137,954 1,068,977 3,206,932 1,603,466 801,733 2,405,200 1,202,600 601,300 300,650 150,325 450,976 225,488 112,744 56,372 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154

More profiles

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