λ
Harmonic Matrix

2,123,662

2 × 1061831
Deficient Even Composite

2,123,662 has digital root 4. The neighboring primes are 2123617 and 2123663; its proper-divisor sum differs from the starting integer by -1,061,828.

Prime Factor Structure

Factorization String 2 × 1061831
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,185,496
Proper Divisor Sum 1,061,834
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2123617 ← → #2123663

Radix Representation

Decimal 2123662
Binary 1000000110011110001110 (22 bits)
Octal 0o10063616
Hexadecimal 0x20678E

Divisor Catalog (4)

1 2 1,061,831 2,123,662

Collatz Trajectory (148 steps to reach 1)

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

2,123,662 1,061,831 3,185,494 1,592,747 4,778,242 2,389,121 7,167,364 3,583,682 1,791,841 5,375,524 2,687,762 1,343,881 4,031,644 2,015,822 1,007,911 3,023,734 1,511,867 4,535,602 2,267,801 6,803,404 3,401,702 1,700,851 5,102,554 2,551,277 7,653,832 3,826,916 1,913,458 956,729 2,870,188 1,435,094 717,547 2,152,642 1,076,321 3,228,964 1,614,482 807,241 2,421,724 1,210,862 605,431 1,816,294 908,147 2,724,442 1,362,221 4,086,664 2,043,332 1,021,666 510,833 1,532,500 766,250 383,125 1,149,376 574,688 287,344 143,672 71,836 35,918 17,959 53,878 26,939 80,818

More profiles

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