λ
Harmonic Matrix

6,478,759

7 × 463 × 1999
Deficient Odd Composite

6,478,759 has digital root 1. The neighboring primes are 6478757 and 6478763; its proper-divisor sum differs from the starting integer by -5,533,518.

Prime Factor Structure

Factorization String 7 × 463 × 1999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,424,000
Proper Divisor Sum 945,241
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6478757 ← → #6478763

Radix Representation

Decimal 6478759
Binary 11000101101101110100111 (23 bits)
Octal 0o30555647
Hexadecimal 0x62DBA7

Divisor Catalog (8)

1 7 463 1,999 3,241 13,993 925,537 6,478,759

Collatz Trajectory (240 steps to reach 1)

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

6,478,759 19,436,278 9,718,139 29,154,418 14,577,209 43,731,628 21,865,814 10,932,907 32,798,722 16,399,361 49,198,084 24,599,042 12,299,521 36,898,564 18,449,282 9,224,641 27,673,924 13,836,962 6,918,481 20,755,444 10,377,722 5,188,861 15,566,584 7,783,292 3,891,646 1,945,823 5,837,470 2,918,735 8,756,206 4,378,103 13,134,310 6,567,155 19,701,466 9,850,733 29,552,200 14,776,100 7,388,050 3,694,025 11,082,076 5,541,038 2,770,519 8,311,558 4,155,779 12,467,338 6,233,669 18,701,008 9,350,504 4,675,252 2,337,626 1,168,813 3,506,440 1,753,220 876,610 438,305 1,314,916 657,458 328,729 986,188 493,094 246,547

More profiles

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