λ
Harmonic Matrix

5,549,601

3 × 23 × 80429
Deficient Odd Composite

5,549,601 has digital root 3. The neighboring primes are 5549591 and 5549611; its proper-divisor sum differs from the starting integer by -3,377,922.

Prime Factor Structure

Factorization String 3 × 23 × 80429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,721,280
Proper Divisor Sum 2,171,679
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5549591 ← → #5549611

Radix Representation

Decimal 5549601
Binary 10101001010111000100001 (23 bits)
Octal 0o25127041
Hexadecimal 0x54AE21

Divisor Catalog (8)

1 3 23 69 80,429 241,287 1,849,867 5,549,601

Collatz Trajectory (201 steps to reach 1)

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

5,549,601 16,648,804 8,324,402 4,162,201 12,486,604 6,243,302 3,121,651 9,364,954 4,682,477 14,047,432 7,023,716 3,511,858 1,755,929 5,267,788 2,633,894 1,316,947 3,950,842 1,975,421 5,926,264 2,963,132 1,481,566 740,783 2,222,350 1,111,175 3,333,526 1,666,763 5,000,290 2,500,145 7,500,436 3,750,218 1,875,109 5,625,328 2,812,664 1,406,332 703,166 351,583 1,054,750 527,375 1,582,126 791,063 2,373,190 1,186,595 3,559,786 1,779,893 5,339,680 2,669,840 1,334,920 667,460 333,730 166,865 500,596 250,298 125,149 375,448 187,724 93,862 46,931 140,794 70,397 211,192

More profiles

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