λ
Prime Ledger

2,489,988

22 × 3 × 19 × 67 × 163
Abundant Even Composite

2,489,988 has the prime decomposition 2^2 × 3 × 19 × 67 × 163. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 67 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,245,120
Proper Divisor Sum 3,755,132
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #2489947 ← → #2489999

Radix Representation

Decimal 2489988
Binary 1001011111111010000100 (22 bits)
Octal 0o11377204
Hexadecimal 0x25FE84

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 67 76 114 134 163 201 228 268 326 402 489 652 804 978 1,273 1,956 2,546 3,097 3,819 5,092 6,194 7,638 9,291 10,921 12,388 15,276 18,582 21,842 32,763 37,164 43,684 65,526 131,052 207,499 414,998 622,497 829,996 1,244,994 2,489,988

Collatz Trajectory (112 steps to reach 1)

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

2,489,988 1,244,994 622,497 1,867,492 933,746 466,873 1,400,620 700,310 350,155 1,050,466 525,233 1,575,700 787,850 393,925 1,181,776 590,888 295,444 147,722 73,861 221,584 110,792 55,396 27,698 13,849 41,548 20,774 10,387 31,162 15,581 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636

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