λ
Sigma Notebook

2,718,620

22 × 5 × 181 × 751
Abundant Even Composite

2,718,620 is even and not a perfect square. Its factorization is 2^2 × 5 × 181 × 751 and its 24 divisors sum to 5,748,288.

Prime Factor Structure

Factorization String 2^2 × 5 × 181 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,748,288
Proper Divisor Sum 3,029,668
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2718613 ← → #2718629

Radix Representation

Decimal 2718620
Binary 1010010111101110011100 (22 bits)
Octal 0o12275634
Hexadecimal 0x297B9C

Divisor Catalog (24)

1 2 4 5 10 20 181 362 724 751 905 1,502 1,810 3,004 3,620 3,755 7,510 15,020 135,931 271,862 543,724 679,655 1,359,310 2,718,620

Collatz Trajectory (112 steps to reach 1)

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

2,718,620 1,359,310 679,655 2,038,966 1,019,483 3,058,450 1,529,225 4,587,676 2,293,838 1,146,919 3,440,758 1,720,379 5,161,138 2,580,569 7,741,708 3,870,854 1,935,427 5,806,282 2,903,141 8,709,424 4,354,712 2,177,356 1,088,678 544,339 1,633,018 816,509 2,449,528 1,224,764 612,382 306,191 918,574 459,287 1,377,862 688,931 2,066,794 1,033,397 3,100,192 1,550,096 775,048 387,524 193,762 96,881 290,644 145,322 72,661 217,984 108,992 54,496 27,248 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875

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