λ
Harmonic Matrix

5,601,550

2 × 52 × 112031
Deficient Even Composite

5,601,550 has digital root 4. The neighboring primes are 5601527 and 5601593; its proper-divisor sum differs from the starting integer by -784,124.

Prime Factor Structure

Factorization String 2 × 5^2 × 112031
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,418,976
Proper Divisor Sum 4,817,426
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5601527 ← → #5601593

Radix Representation

Decimal 5601550
Binary 10101010111100100001110 (23 bits)
Octal 0o25274416
Hexadecimal 0x55790E

Divisor Catalog (12)

1 2 5 10 25 50 112,031 224,062 560,155 1,120,310 2,800,775 5,601,550

Collatz Trajectory (131 steps to reach 1)

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

5,601,550 2,800,775 8,402,326 4,201,163 12,603,490 6,301,745 18,905,236 9,452,618 4,726,309 14,178,928 7,089,464 3,544,732 1,772,366 886,183 2,658,550 1,329,275 3,987,826 1,993,913 5,981,740 2,990,870 1,495,435 4,486,306 2,243,153 6,729,460 3,364,730 1,682,365 5,047,096 2,523,548 1,261,774 630,887 1,892,662 946,331 2,838,994 1,419,497 4,258,492 2,129,246 1,064,623 3,193,870 1,596,935 4,790,806 2,395,403 7,186,210 3,593,105 10,779,316 5,389,658 2,694,829 8,084,488 4,042,244 2,021,122 1,010,561 3,031,684 1,515,842 757,921 2,273,764 1,136,882 568,441 1,705,324 852,662 426,331 1,278,994

More profiles

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