λ
Harmonic Matrix

8,379,426

2 × 3 × 11 × 126961
Abundant Even Composite

8,379,426 has digital root 3. The neighboring primes are 8379421 and 8379461; its proper-divisor sum differs from the starting integer by 1,523,676.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 126961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,282,528
Proper Divisor Sum 9,903,102
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8379421 ← → #8379461

Radix Representation

Decimal 8379426
Binary 11111111101110000100010 (23 bits)
Octal 0o37756042
Hexadecimal 0x7FDC22

Divisor Catalog (16)

1 2 3 6 11 22 33 66 126,961 253,922 380,883 761,766 1,396,571 2,793,142 4,189,713 8,379,426

Collatz Trajectory (75 steps to reach 1)

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

8,379,426 4,189,713 12,569,140 6,284,570 3,142,285 9,426,856 4,713,428 2,356,714 1,178,357 3,535,072 1,767,536 883,768 441,884 220,942 110,471 331,414 165,707 497,122 248,561 745,684 372,842 186,421 559,264 279,632 139,816 69,908 34,954 17,477 52,432 26,216 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

More profiles

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