λ
Harmonic Matrix

5,549,620

22 × 5 × 31 × 8951
Abundant Even Composite

5,549,620 has digital root 4. The neighboring primes are 5549617 and 5549657; its proper-divisor sum differs from the starting integer by 932,248.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 8951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,031,488
Proper Divisor Sum 6,481,868
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5549617 ← → #5549657

Radix Representation

Decimal 5549620
Binary 10101001010111000110100 (23 bits)
Octal 0o25127064
Hexadecimal 0x54AE34

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 8,951 17,902 35,804 44,755 89,510 179,020 277,481 554,962 1,109,924 1,387,405 2,774,810 5,549,620

Collatz Trajectory (51 steps to reach 1)

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

5,549,620 2,774,810 1,387,405 4,162,216 2,081,108 1,040,554 520,277 1,560,832 780,416 390,208 195,104 97,552 48,776 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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