λ
Harmonic Matrix

6,020,823

3 × 151 × 13291
Deficient Odd Composite

6,020,823 has digital root 3. The neighboring primes are 6020801 and 6020831; its proper-divisor sum differs from the starting integer by -3,960,110.

Prime Factor Structure

Factorization String 3 × 151 × 13291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,081,536
Proper Divisor Sum 2,060,713
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6020801 ← → #6020831

Radix Representation

Decimal 6020823
Binary 10110111101111011010111 (23 bits)
Octal 0o26757327
Hexadecimal 0x5BDED7

Divisor Catalog (8)

1 3 151 453 13,291 39,873 2,006,941 6,020,823

Collatz Trajectory (90 steps to reach 1)

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

6,020,823 18,062,470 9,031,235 27,093,706 13,546,853 40,640,560 20,320,280 10,160,140 5,080,070 2,540,035 7,620,106 3,810,053 11,430,160 5,715,080 2,857,540 1,428,770 714,385 2,143,156 1,071,578 535,789 1,607,368 803,684 401,842 200,921 602,764 301,382 150,691 452,074 226,037 678,112 339,056 169,528 84,764 42,382 21,191 63,574 31,787 95,362 47,681 143,044 71,522 35,761 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370

More profiles

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