λ
Harmonic Matrix

6,201,834

2 × 3 × 821 × 1259
Abundant Even Composite

6,201,834 has digital root 6. The neighboring primes are 6201823 and 6201851; its proper-divisor sum differs from the starting integer by 24,972.

Prime Factor Structure

Factorization String 2 × 3 × 821 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,428,640
Proper Divisor Sum 6,226,806
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6201823 ← → #6201851

Radix Representation

Decimal 6201834
Binary 10111101010000111101010 (23 bits)
Octal 0o27520752
Hexadecimal 0x5EA1EA

Divisor Catalog (16)

1 2 3 6 821 1,259 1,642 2,463 2,518 3,777 4,926 7,554 1,033,639 2,067,278 3,100,917 6,201,834

Collatz Trajectory (77 steps to reach 1)

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

6,201,834 3,100,917 9,302,752 4,651,376 2,325,688 1,162,844 581,422 290,711 872,134 436,067 1,308,202 654,101 1,962,304 981,152 490,576 245,288 122,644 61,322 30,661 91,984 45,992 22,996 11,498 5,749 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

More profiles

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