λ
Harmonic Matrix

9,370,434

2 × 3 × 17 × 91867
Abundant Even Composite

9,370,434 has digital root 3. The neighboring primes are 9370423 and 9370457; its proper-divisor sum differs from the starting integer by 1,102,620.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 91867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,843,488
Proper Divisor Sum 10,473,054
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9370423 ← → #9370457

Radix Representation

Decimal 9370434
Binary 100011101111101101000010 (24 bits)
Octal 0o43575502
Hexadecimal 0x8EFB42

Divisor Catalog (16)

1 2 3 6 17 34 51 102 91,867 183,734 275,601 551,202 1,561,739 3,123,478 4,685,217 9,370,434

Collatz Trajectory (101 steps to reach 1)

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

9,370,434 4,685,217 14,055,652 7,027,826 3,513,913 10,541,740 5,270,870 2,635,435 7,906,306 3,953,153 11,859,460 5,929,730 2,964,865 8,894,596 4,447,298 2,223,649 6,670,948 3,335,474 1,667,737 5,003,212 2,501,606 1,250,803 3,752,410 1,876,205 5,628,616 2,814,308 1,407,154 703,577 2,110,732 1,055,366 527,683 1,583,050 791,525 2,374,576 1,187,288 593,644 296,822 148,411 445,234 222,617 667,852 333,926 166,963 500,890 250,445 751,336 375,668 187,834 93,917 281,752 140,876 70,438 35,219 105,658 52,829 158,488 79,244 39,622 19,811 59,434

More profiles

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