λ
Harmonic Matrix

6,984,196

22 × 1103 × 1583
Deficient Even Composite

6,984,196 has digital root 7. The neighboring primes are 6984193 and 6984209; its proper-divisor sum differs from the starting integer by -1,727,240.

Prime Factor Structure

Factorization String 2^2 × 1103 × 1583
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,241,152
Proper Divisor Sum 5,256,956
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6984193 ← → #6984209

Radix Representation

Decimal 6984196
Binary 11010101001001000000100 (23 bits)
Octal 0o32511004
Hexadecimal 0x6A9204

Divisor Catalog (12)

1 2 4 1,103 1,583 2,206 3,166 4,412 6,332 1,746,049 3,492,098 6,984,196

Collatz Trajectory (129 steps to reach 1)

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

6,984,196 3,492,098 1,746,049 5,238,148 2,619,074 1,309,537 3,928,612 1,964,306 982,153 2,946,460 1,473,230 736,615 2,209,846 1,104,923 3,314,770 1,657,385 4,972,156 2,486,078 1,243,039 3,729,118 1,864,559 5,593,678 2,796,839 8,390,518 4,195,259 12,585,778 6,292,889 18,878,668 9,439,334 4,719,667 14,159,002 7,079,501 21,238,504 10,619,252 5,309,626 2,654,813 7,964,440 3,982,220 1,991,110 995,555 2,986,666 1,493,333 4,480,000 2,240,000 1,120,000 560,000 280,000 140,000 70,000 35,000 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384

More profiles

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