λ
Sigma Notebook

5,581,008

24 × 33 × 12919
Abundant Even Composite

5,581,008 is even and not a perfect square. Its factorization is 2^4 × 3^3 × 12919 and its 40 divisors sum to 16,020,800.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 12919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,020,800
Proper Divisor Sum 10,439,792
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5581001 ← → #5581027

Radix Representation

Decimal 5581008
Binary 10101010010100011010000 (23 bits)
Octal 0o25224320
Hexadecimal 0x5528D0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12,919 25,838 38,757 51,676 77,514 103,352 116,271 155,028 206,704 232,542 310,056 348,813 465,084 620,112 697,626 930,168 1,395,252 1,860,336 2,790,504 5,581,008

Collatz Trajectory (157 steps to reach 1)

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

5,581,008 2,790,504 1,395,252 697,626 348,813 1,046,440 523,220 261,610 130,805 392,416 196,208 98,104 49,052 24,526 12,263 36,790 18,395 55,186 27,593 82,780 41,390 20,695 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903

More profiles

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