λ
Sigma Notebook

2,043,024

24 × 3 × 31 × 1373
Abundant Even Composite

2,043,024 is even and not a perfect square. Its factorization is 2^4 × 3 × 31 × 1373 and its 40 divisors sum to 5,452,032.

Prime Factor Structure

Factorization String 2^4 × 3 × 31 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,452,032
Proper Divisor Sum 3,409,008
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2043023 ← → #2043037

Radix Representation

Decimal 2043024
Binary 111110010110010010000 (21 bits)
Octal 0o7626220
Hexadecimal 0x1F2C90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1,373 1,488 2,746 4,119 5,492 8,238 10,984 16,476 21,968 32,952 42,563 65,904 85,126 127,689 170,252 255,378 340,504 510,756 681,008 1,021,512 2,043,024

Collatz Trajectory (104 steps to reach 1)

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

2,043,024 1,021,512 510,756 255,378 127,689 383,068 191,534 95,767 287,302 143,651 430,954 215,477 646,432 323,216 161,608 80,804 40,402 20,201 60,604 30,302 15,151 45,454 22,727 68,182 34,091 102,274 51,137 153,412 76,706 38,353 115,060 57,530 28,765 86,296 43,148 21,574 10,787 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361

More profiles

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