λ
Harmonic Matrix

6,949,190

2 × 5 × 694919
Deficient Even Composite

6,949,190 has digital root 2. The neighboring primes are 6949147 and 6949199; its proper-divisor sum differs from the starting integer by -1,389,820.

Prime Factor Structure

Factorization String 2 × 5 × 694919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,508,560
Proper Divisor Sum 5,559,370
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6949147 ← → #6949199

Radix Representation

Decimal 6949190
Binary 11010100000100101000110 (23 bits)
Octal 0o32404506
Hexadecimal 0x6A0946

Divisor Catalog (8)

1 2 5 10 694,919 1,389,838 3,474,595 6,949,190

Collatz Trajectory (222 steps to reach 1)

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

6,949,190 3,474,595 10,423,786 5,211,893 15,635,680 7,817,840 3,908,920 1,954,460 977,230 488,615 1,465,846 732,923 2,198,770 1,099,385 3,298,156 1,649,078 824,539 2,473,618 1,236,809 3,710,428 1,855,214 927,607 2,782,822 1,391,411 4,174,234 2,087,117 6,261,352 3,130,676 1,565,338 782,669 2,348,008 1,174,004 587,002 293,501 880,504 440,252 220,126 110,063 330,190 165,095 495,286 247,643 742,930 371,465 1,114,396 557,198 278,599 835,798 417,899 1,253,698 626,849 1,880,548 940,274 470,137 1,410,412 705,206 352,603 1,057,810 528,905 1,586,716

More profiles

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