λ
Harmonic Matrix

6,093,998

2 × 197 × 15467
Deficient Even Composite

6,093,998 has digital root 8. The neighboring primes are 6093991 and 6094009; its proper-divisor sum differs from the starting integer by -3,000,004.

Prime Factor Structure

Factorization String 2 × 197 × 15467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,187,992
Proper Divisor Sum 3,093,994
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6093991 ← → #6094009

Radix Representation

Decimal 6093998
Binary 10111001111110010101110 (23 bits)
Octal 0o27176256
Hexadecimal 0x5CFCAE

Divisor Catalog (8)

1 2 197 394 15,467 30,934 3,046,999 6,093,998

Collatz Trajectory (90 steps to reach 1)

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

6,093,998 3,046,999 9,140,998 4,570,499 13,711,498 6,855,749 20,567,248 10,283,624 5,141,812 2,570,906 1,285,453 3,856,360 1,928,180 964,090 482,045 1,446,136 723,068 361,534 180,767 542,302 271,151 813,454 406,727 1,220,182 610,091 1,830,274 915,137 2,745,412 1,372,706 686,353 2,059,060 1,029,530 514,765 1,544,296 772,148 386,074 193,037 579,112 289,556 144,778 72,389 217,168 108,584 54,292 27,146 13,573 40,720 20,360 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179

More profiles

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