λ
Prime Ledger

2,445,804

22 × 32 × 67939
Abundant Even Composite

2,445,804 has the prime decomposition 2^2 × 3^2 × 67939. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 67939
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,182,540
Proper Divisor Sum 3,736,736
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2445799 ← → #2445827

Radix Representation

Decimal 2445804
Binary 1001010101000111101100 (22 bits)
Octal 0o11250754
Hexadecimal 0x2551EC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 67,939 135,878 203,817 271,756 407,634 611,451 815,268 1,222,902 2,445,804

Collatz Trajectory (112 steps to reach 1)

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

2,445,804 1,222,902 611,451 1,834,354 917,177 2,751,532 1,375,766 687,883 2,063,650 1,031,825 3,095,476 1,547,738 773,869 2,321,608 1,160,804 580,402 290,201 870,604 435,302 217,651 652,954 326,477 979,432 489,716 244,858 122,429 367,288 183,644 91,822 45,911 137,734 68,867 206,602 103,301 309,904 154,952 77,476 38,738 19,369 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514

More profiles

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