λ
Harmonic Matrix

6,367,777

13 × 71 × 6899
Deficient Odd Composite

6,367,777 has digital root 7. The neighboring primes are 6367771 and 6367787; its proper-divisor sum differs from the starting integer by -5,780,354.

Prime Factor Structure

Factorization String 13 × 71 × 6899
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,955,200
Proper Divisor Sum 587,423
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6367771 ← → #6367787

Radix Representation

Decimal 6367777
Binary 11000010010101000100001 (23 bits)
Octal 0o30225041
Hexadecimal 0x612A21

Divisor Catalog (8)

1 13 71 923 6,899 89,687 489,829 6,367,777

Collatz Trajectory (103 steps to reach 1)

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

6,367,777 19,103,332 9,551,666 4,775,833 14,327,500 7,163,750 3,581,875 10,745,626 5,372,813 16,118,440 8,059,220 4,029,610 2,014,805 6,044,416 3,022,208 1,511,104 755,552 377,776 188,888 94,444 47,222 23,611 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733

More profiles

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