λ
Sigma Notebook

2,125,850

2 × 52 × 17 × 41 × 61
Abundant Even Composite

2,125,850 is even and not a perfect square. Its factorization is 2 × 5^2 × 17 × 41 × 61 and its 48 divisors sum to 4,359,096.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 41 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,359,096
Proper Divisor Sum 2,233,246
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2125847 ← → #2125873

Radix Representation

Decimal 2125850
Binary 1000000111000000011010 (22 bits)
Octal 0o10070032
Hexadecimal 0x20701A

Divisor Catalog (48)

1 2 5 10 17 25 34 41 50 61 82 85 122 170 205 305 410 425 610 697 850 1,025 1,037 1,394 1,525 2,050 2,074 2,501 3,050 3,485 5,002 5,185 6,970 10,370 12,505 17,425 25,010 25,925 34,850 42,517 51,850 62,525 85,034 125,050 212,585 425,170 1,062,925 2,125,850

Collatz Trajectory (104 steps to reach 1)

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

2,125,850 1,062,925 3,188,776 1,594,388 797,194 398,597 1,195,792 597,896 298,948 149,474 74,737 224,212 112,106 56,053 168,160 84,080 42,040 21,020 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249

More profiles

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