λ
Harmonic Matrix

8,378,674

2 × 4189337
Deficient Even Composite

8,378,674 has digital root 7. The neighboring primes are 8378659 and 8378681; its proper-divisor sum differs from the starting integer by -4,189,334.

Prime Factor Structure

Factorization String 2 × 4189337
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,568,014
Proper Divisor Sum 4,189,340
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8378659 ← → #8378681

Radix Representation

Decimal 8378674
Binary 11111111101100100110010 (23 bits)
Octal 0o37754462
Hexadecimal 0x7FD932

Divisor Catalog (4)

1 2 4,189,337 8,378,674

Collatz Trajectory (168 steps to reach 1)

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

8,378,674 4,189,337 12,568,012 6,284,006 3,142,003 9,426,010 4,713,005 14,139,016 7,069,508 3,534,754 1,767,377 5,302,132 2,651,066 1,325,533 3,976,600 1,988,300 994,150 497,075 1,491,226 745,613 2,236,840 1,118,420 559,210 279,605 838,816 419,408 209,704 104,852 52,426 26,213 78,640 39,320 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250

More profiles

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