λ
Sigma Notebook

5,584,404

22 × 3 × 7 × 19 × 3499
Abundant Even Composite

5,584,404 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 19 × 3499 and its 48 divisors sum to 15,680,000.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 19 × 3499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,680,000
Proper Divisor Sum 10,095,596
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5584379 ← → #5584417

Radix Representation

Decimal 5584404
Binary 10101010011011000010100 (23 bits)
Octal 0o25233024
Hexadecimal 0x553614

Divisor Catalog (48)

1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1,596 3,499 6,998 10,497 13,996 20,994 24,493 41,988 48,986 66,481 73,479 97,972 132,962 146,958 199,443 265,924 293,916 398,886 465,367 797,772 930,734 1,396,101 1,861,468 2,792,202 5,584,404

Collatz Trajectory (170 steps to reach 1)

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

5,584,404 2,792,202 1,396,101 4,188,304 2,094,152 1,047,076 523,538 261,769 785,308 392,654 196,327 588,982 294,491 883,474 441,737 1,325,212 662,606 331,303 993,910 496,955 1,490,866 745,433 2,236,300 1,118,150 559,075 1,677,226 838,613 2,515,840 1,257,920 628,960 314,480 157,240 78,620 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164

More profiles

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