λ
Integer Codex

2,123,094

2 × 3 × 107 × 3307
Abundant Even Composite

For 2,123,094, the 16 positive divisors have a total of 4,287,168. Removing 2,123,094 leaves 2,164,074, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 107 × 3307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,287,168
Proper Divisor Sum 2,164,074
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2123087 ← → #2123123

Radix Representation

Decimal 2123094
Binary 1000000110010101010110 (22 bits)
Octal 0o10062526
Hexadecimal 0x206556

Divisor Catalog (16)

1 2 3 6 107 214 321 642 3,307 6,614 9,921 19,842 353,849 707,698 1,061,547 2,123,094

Collatz Trajectory (104 steps to reach 1)

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

2,123,094 1,061,547 3,184,642 1,592,321 4,776,964 2,388,482 1,194,241 3,582,724 1,791,362 895,681 2,687,044 1,343,522 671,761 2,015,284 1,007,642 503,821 1,511,464 755,732 377,866 188,933 566,800 283,400 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472

More profiles

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