λ
Harmonic Matrix

6,602,199

3 × 173 × 12721
Deficient Odd Composite

6,602,199 has digital root 6. The neighboring primes are 6602161 and 6602201; its proper-divisor sum differs from the starting integer by -4,349,886.

Prime Factor Structure

Factorization String 3 × 173 × 12721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,854,512
Proper Divisor Sum 2,252,313
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6602161 ← → #6602201

Radix Representation

Decimal 6602199
Binary 11001001011110111010111 (23 bits)
Octal 0o31136727
Hexadecimal 0x64BDD7

Divisor Catalog (8)

1 3 173 519 12,721 38,163 2,200,733 6,602,199

Collatz Trajectory (178 steps to reach 1)

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

6,602,199 19,806,598 9,903,299 29,709,898 14,854,949 44,564,848 22,282,424 11,141,212 5,570,606 2,785,303 8,355,910 4,177,955 12,533,866 6,266,933 18,800,800 9,400,400 4,700,200 2,350,100 1,175,050 587,525 1,762,576 881,288 440,644 220,322 110,161 330,484 165,242 82,621 247,864 123,932 61,966 30,983 92,950 46,475 139,426 69,713 209,140 104,570 52,285 156,856 78,428 39,214 19,607 58,822 29,411 88,234 44,117 132,352 66,176 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194

More profiles

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