λ
Match Zalai

2,444,330

2 × 5 × 7 × 34919
Abundant Even Composite

2,444,330 factors as 2 × 5 × 7 × 34919. Its 16 positive divisors give a proper-divisor sum of 2,584,150, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 34919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,028,480
Proper Divisor Sum 2,584,150
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2444291 ← → #2444341

Radix Representation

Decimal 2444330
Binary 1001010100110000101010 (22 bits)
Octal 0o11246052
Hexadecimal 0x254C2A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 34,919 69,838 174,595 244,433 349,190 488,866 1,222,165 2,444,330

Collatz Trajectory (112 steps to reach 1)

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

2,444,330 1,222,165 3,666,496 1,833,248 916,624 458,312 229,156 114,578 57,289 171,868 85,934 42,967 128,902 64,451 193,354 96,677 290,032 145,016 72,508 36,254 18,127 54,382 27,191 81,574 40,787 122,362 61,181 183,544 91,772 45,886 22,943 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585

More profiles

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