λ
Sigma Notebook

2,871,270

2 × 32 × 5 × 61 × 523
Abundant Even Composite

2,871,270 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 61 × 523 and its 48 divisors sum to 7,602,192.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 61 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,602,192
Proper Divisor Sum 4,730,922
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2871257 ← → #2871287

Radix Representation

Decimal 2871270
Binary 1010111100111111100110 (22 bits)
Octal 0o12747746
Hexadecimal 0x2BCFE6

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 523 549 610 915 1,046 1,098 1,569 1,830 2,615 2,745 3,138 4,707 5,230 5,490 7,845 9,414 15,690 23,535 31,903 47,070 63,806 95,709 159,515 191,418 287,127 319,030 478,545 574,254 957,090 1,435,635 2,871,270

Collatz Trajectory (169 steps to reach 1)

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

2,871,270 1,435,635 4,306,906 2,153,453 6,460,360 3,230,180 1,615,090 807,545 2,422,636 1,211,318 605,659 1,816,978 908,489 2,725,468 1,362,734 681,367 2,044,102 1,022,051 3,066,154 1,533,077 4,599,232 2,299,616 1,149,808 574,904 287,452 143,726 71,863 215,590 107,795 323,386 161,693 485,080 242,540 121,270 60,635 181,906 90,953 272,860 136,430 68,215 204,646 102,323 306,970 153,485 460,456 230,228 115,114 57,557 172,672 86,336 43,168 21,584 10,792 5,396 2,698 1,349 4,048 2,024 1,012 506

More profiles

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