λ
Harmonic Matrix

5,262,801

3 × 41 × 42787
Deficient Odd Composite

5,262,801 has digital root 6. The neighboring primes are 5262799 and 5262811; its proper-divisor sum differs from the starting integer by -3,337,218.

Prime Factor Structure

Factorization String 3 × 41 × 42787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,188,384
Proper Divisor Sum 1,925,583
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5262799 ← → #5262811

Radix Representation

Decimal 5262801
Binary 10100000100110111010001 (23 bits)
Octal 0o24046721
Hexadecimal 0x504DD1

Divisor Catalog (8)

1 3 41 123 42,787 128,361 1,754,267 5,262,801

Collatz Trajectory (157 steps to reach 1)

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

5,262,801 15,788,404 7,894,202 3,947,101 11,841,304 5,920,652 2,960,326 1,480,163 4,440,490 2,220,245 6,660,736 3,330,368 1,665,184 832,592 416,296 208,148 104,074 52,037 156,112 78,056 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161

More profiles

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