λ
Sigma Notebook

2,704,560

24 × 3 × 5 × 59 × 191
Abundant Even Composite

2,704,560 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 59 × 191 and its 80 divisors sum to 8,570,880.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 59 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 8,570,880
Proper Divisor Sum 5,866,320
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2704553 ← → #2704567

Radix Representation

Decimal 2704560
Binary 1010010100010010110000 (22 bits)
Octal 0o12242260
Hexadecimal 0x2944B0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 191 236 240 295 354 382 472 573 590 708 764 885 944 955 1,146 1,180 1,416 1,528 1,770 1,910 2,292 2,360 2,832 2,865 3,056 3,540 3,820 4,584 4,720 5,730 7,080 7,640 9,168 11,269 11,460 14,160 15,280 22,538

Collatz Trajectory (63 steps to reach 1)

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

2,704,560 1,352,280 676,140 338,070 169,035 507,106 253,553 760,660 380,330 190,165 570,496 285,248 142,624 71,312 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

More profiles

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