λ
Sigma Notebook

2,873,142

2 × 32 × 19 × 31 × 271
Abundant Even Composite

2,873,142 is even and not a perfect square. Its factorization is 2 × 3^2 × 19 × 31 × 271 and its 48 divisors sum to 6,789,120.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 31 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,789,120
Proper Divisor Sum 3,915,978
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2873141 ← → #2873149

Radix Representation

Decimal 2873142
Binary 1010111101011100110110 (22 bits)
Octal 0o12753466
Hexadecimal 0x2BD736

Divisor Catalog (48)

1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 271 279 342 542 558 589 813 1,178 1,626 1,767 2,439 3,534 4,878 5,149 5,301 8,401 10,298 10,602 15,447 16,802 25,203 30,894 46,341 50,406 75,609 92,682 151,218 159,619 319,238 478,857 957,714 1,436,571 2,873,142

Collatz Trajectory (169 steps to reach 1)

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

2,873,142 1,436,571 4,309,714 2,154,857 6,464,572 3,232,286 1,616,143 4,848,430 2,424,215 7,272,646 3,636,323 10,908,970 5,454,485 16,363,456 8,181,728 4,090,864 2,045,432 1,022,716 511,358 255,679 767,038 383,519 1,150,558 575,279 1,725,838 862,919 2,588,758 1,294,379 3,883,138 1,941,569 5,824,708 2,912,354 1,456,177 4,368,532 2,184,266 1,092,133 3,276,400 1,638,200 819,100 409,550 204,775 614,326 307,163 921,490 460,745 1,382,236 691,118 345,559 1,036,678 518,339 1,555,018 777,509 2,332,528 1,166,264 583,132 291,566 145,783 437,350 218,675 656,026

More profiles

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