λ
Harmonic Matrix

8,179,748

22 × 2044937
Deficient Even Composite

8,179,748 has digital root 8. The neighboring primes are 8179729 and 8179751; its proper-divisor sum differs from the starting integer by -2,044,930.

Prime Factor Structure

Factorization String 2^2 × 2044937
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,314,566
Proper Divisor Sum 6,134,818
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8179729 ← → #8179751

Radix Representation

Decimal 8179748
Binary 11111001101000000100100 (23 bits)
Octal 0o37150044
Hexadecimal 0x7CD024

Divisor Catalog (6)

1 2 4 2,044,937 4,089,874 8,179,748

Collatz Trajectory (106 steps to reach 1)

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

8,179,748 4,089,874 2,044,937 6,134,812 3,067,406 1,533,703 4,601,110 2,300,555 6,901,666 3,450,833 10,352,500 5,176,250 2,588,125 7,764,376 3,882,188 1,941,094 970,547 2,911,642 1,455,821 4,367,464 2,183,732 1,091,866 545,933 1,637,800 818,900 409,450 204,725 614,176 307,088 153,544 76,772 38,386 19,193 57,580 28,790 14,395 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442

More profiles

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