λ
Harmonic Matrix

5,673,426

2 × 3 × 11 × 67 × 1283
Abundant Even Composite

5,673,426 has digital root 6. The neighboring primes are 5673413 and 5673431; its proper-divisor sum differs from the starting integer by 1,226,076.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 67 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,572,928
Proper Divisor Sum 6,899,502
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5673413 ← → #5673431

Radix Representation

Decimal 5673426
Binary 10101101001000111010010 (23 bits)
Octal 0o25510722
Hexadecimal 0x5691D2

Divisor Catalog (32)

1 2 3 6 11 22 33 66 67 134 201 402 737 1,283 1,474 2,211 2,566 3,849 4,422 7,698 14,113 28,226 42,339 84,678 85,961 171,922 257,883 515,766 945,571 1,891,142 2,836,713 5,673,426

Collatz Trajectory (276 steps to reach 1)

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

5,673,426 2,836,713 8,510,140 4,255,070 2,127,535 6,382,606 3,191,303 9,573,910 4,786,955 14,360,866 7,180,433 21,541,300 10,770,650 5,385,325 16,155,976 8,077,988 4,038,994 2,019,497 6,058,492 3,029,246 1,514,623 4,543,870 2,271,935 6,815,806 3,407,903 10,223,710 5,111,855 15,335,566 7,667,783 23,003,350 11,501,675 34,505,026 17,252,513 51,757,540 25,878,770 12,939,385 38,818,156 19,409,078 9,704,539 29,113,618 14,556,809 43,670,428 21,835,214 10,917,607 32,752,822 16,376,411 49,129,234 24,564,617 73,693,852 36,846,926 18,423,463 55,270,390 27,635,195 82,905,586 41,452,793 124,358,380 62,179,190 31,089,595 93,268,786 46,634,393

More profiles

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