λ
Sigma Notebook

5,544,084

22 × 3 × 7 × 13 × 5077
Abundant Even Composite

5,544,084 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 13 × 5077 and its 48 divisors sum to 15,924,608.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 5077
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,924,608
Proper Divisor Sum 10,380,524
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5544079 ← → #5544101

Radix Representation

Decimal 5544084
Binary 10101001001100010010100 (23 bits)
Octal 0o25114224
Hexadecimal 0x549894

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 5,077 10,154 15,231 20,308 30,462 35,539 60,924 66,001 71,078 106,617 132,002 142,156 198,003 213,234 264,004 396,006 426,468 462,007 792,012 924,014 1,386,021 1,848,028 2,772,042 5,544,084

Collatz Trajectory (157 steps to reach 1)

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

5,544,084 2,772,042 1,386,021 4,158,064 2,079,032 1,039,516 519,758 259,879 779,638 389,819 1,169,458 584,729 1,754,188 877,094 438,547 1,315,642 657,821 1,973,464 986,732 493,366 246,683 740,050 370,025 1,110,076 555,038 277,519 832,558 416,279 1,248,838 624,419 1,873,258 936,629 2,809,888 1,404,944 702,472 351,236 175,618 87,809 263,428 131,714 65,857 197,572 98,786 49,393 148,180 74,090 37,045 111,136 55,568 27,784 13,892 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977

More profiles

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