λ
Harmonic Matrix

2,112,050

2 × 52 × 53 × 797
Deficient Even Composite

2,112,050 has digital root 2. The neighboring primes are 2112017 and 2112053; its proper-divisor sum differs from the starting integer by -216,544.

Prime Factor Structure

Factorization String 2 × 5^2 × 53 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,007,556
Proper Divisor Sum 1,895,506
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2112017 ← → #2112053

Radix Representation

Decimal 2112050
Binary 1000000011101000110010 (22 bits)
Octal 0o10035062
Hexadecimal 0x203A32

Divisor Catalog (24)

1 2 5 10 25 50 53 106 265 530 797 1,325 1,594 2,650 3,985 7,970 19,925 39,850 42,241 84,482 211,205 422,410 1,056,025 2,112,050

Collatz Trajectory (197 steps to reach 1)

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

2,112,050 1,056,025 3,168,076 1,584,038 792,019 2,376,058 1,188,029 3,564,088 1,782,044 891,022 445,511 1,336,534 668,267 2,004,802 1,002,401 3,007,204 1,503,602 751,801 2,255,404 1,127,702 563,851 1,691,554 845,777 2,537,332 1,268,666 634,333 1,903,000 951,500 475,750 237,875 713,626 356,813 1,070,440 535,220 267,610 133,805 401,416 200,708 100,354 50,177 150,532 75,266 37,633 112,900 56,450 28,225 84,676 42,338 21,169 63,508 31,754 15,877 47,632 23,816 11,908 5,954 2,977 8,932 4,466 2,233

More profiles

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