λ
Harmonic Matrix

6,118,679

72 × 193 × 647
Deficient Odd Composite

6,118,679 has digital root 2. The neighboring primes are 6118649 and 6118699; its proper-divisor sum differs from the starting integer by -5,071,774.

Prime Factor Structure

Factorization String 7^2 × 193 × 647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,165,584
Proper Divisor Sum 1,046,905
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6118649 ← → #6118699

Radix Representation

Decimal 6118679
Binary 10111010101110100010111 (23 bits)
Octal 0o27256427
Hexadecimal 0x5D5D17

Divisor Catalog (12)

1 7 49 193 647 1,351 4,529 9,457 31,703 124,871 874,097 6,118,679

Collatz Trajectory (134 steps to reach 1)

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

6,118,679 18,356,038 9,178,019 27,534,058 13,767,029 41,301,088 20,650,544 10,325,272 5,162,636 2,581,318 1,290,659 3,871,978 1,935,989 5,807,968 2,903,984 1,451,992 725,996 362,998 181,499 544,498 272,249 816,748 408,374 204,187 612,562 306,281 918,844 459,422 229,711 689,134 344,567 1,033,702 516,851 1,550,554 775,277 2,325,832 1,162,916 581,458 290,729 872,188 436,094 218,047 654,142 327,071 981,214 490,607 1,471,822 735,911 2,207,734 1,103,867 3,311,602 1,655,801 4,967,404 2,483,702 1,241,851 3,725,554 1,862,777 5,588,332 2,794,166 1,397,083

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