λ
Harmonic Matrix

8,367,378

2 × 3 × 197 × 7079
Abundant Even Composite

8,367,378 has digital root 6. The neighboring primes are 8367371 and 8367379; its proper-divisor sum differs from the starting integer by 87,324.

Prime Factor Structure

Factorization String 2 × 3 × 197 × 7079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,822,080
Proper Divisor Sum 8,454,702
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8367371 ← → #8367379

Radix Representation

Decimal 8367378
Binary 11111111010110100010010 (23 bits)
Octal 0o37726422
Hexadecimal 0x7FAD12

Divisor Catalog (16)

1 2 3 6 197 394 591 1,182 7,079 14,158 21,237 42,474 1,394,563 2,789,126 4,183,689 8,367,378

Collatz Trajectory (137 steps to reach 1)

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

8,367,378 4,183,689 12,551,068 6,275,534 3,137,767 9,413,302 4,706,651 14,119,954 7,059,977 21,179,932 10,589,966 5,294,983 15,884,950 7,942,475 23,827,426 11,913,713 35,741,140 17,870,570 8,935,285 26,805,856 13,402,928 6,701,464 3,350,732 1,675,366 837,683 2,513,050 1,256,525 3,769,576 1,884,788 942,394 471,197 1,413,592 706,796 353,398 176,699 530,098 265,049 795,148 397,574 198,787 596,362 298,181 894,544 447,272 223,636 111,818 55,909 167,728 83,864 41,932 20,966 10,483 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846

More profiles

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