λ
Harmonic Matrix

6,478,873

359 × 18047
Deficient Odd Composite

6,478,873 has digital root 7. The neighboring primes are 6478841 and 6478883; its proper-divisor sum differs from the starting integer by -6,460,466.

Prime Factor Structure

Factorization String 359 × 18047
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,497,280
Proper Divisor Sum 18,407
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6478841 ← → #6478883

Radix Representation

Decimal 6478873
Binary 11000101101110000011001 (23 bits)
Octal 0o30556031
Hexadecimal 0x62DC19

Divisor Catalog (4)

1 359 18,047 6,478,873

Collatz Trajectory (209 steps to reach 1)

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

6,478,873 19,436,620 9,718,310 4,859,155 14,577,466 7,288,733 21,866,200 10,933,100 5,466,550 2,733,275 8,199,826 4,099,913 12,299,740 6,149,870 3,074,935 9,224,806 4,612,403 13,837,210 6,918,605 20,755,816 10,377,908 5,188,954 2,594,477 7,783,432 3,891,716 1,945,858 972,929 2,918,788 1,459,394 729,697 2,189,092 1,094,546 547,273 1,641,820 820,910 410,455 1,231,366 615,683 1,847,050 923,525 2,770,576 1,385,288 692,644 346,322 173,161 519,484 259,742 129,871 389,614 194,807 584,422 292,211 876,634 438,317 1,314,952 657,476 328,738 164,369 493,108 246,554

More profiles

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