λ
Harmonic Matrix

3,810,826

2 × 67 × 28439
Deficient Even Composite

3,810,826 has digital root 1. The neighboring primes are 3810823 and 3810841; its proper-divisor sum differs from the starting integer by -1,819,892.

Prime Factor Structure

Factorization String 2 × 67 × 28439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,801,760
Proper Divisor Sum 1,990,934
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3810823 ← → #3810841

Radix Representation

Decimal 3810826
Binary 1110100010011000001010 (22 bits)
Octal 0o16423012
Hexadecimal 0x3A260A

Divisor Catalog (8)

1 2 67 134 28,439 56,878 1,905,413 3,810,826

Collatz Trajectory (79 steps to reach 1)

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

3,810,826 1,905,413 5,716,240 2,858,120 1,429,060 714,530 357,265 1,071,796 535,898 267,949 803,848 401,924 200,962 100,481 301,444 150,722 75,361 226,084 113,042 56,521 169,564 84,782 42,391 127,174 63,587 190,762 95,381 286,144 143,072 71,536 35,768 17,884 8,942 4,471 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112

More profiles

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