λ
Harmonic Matrix

5,074,043

13 × 29 × 43 × 313
Deficient Odd Composite

5,074,043 has digital root 5. The neighboring primes are 5074033 and 5074051; its proper-divisor sum differs from the starting integer by -4,345,366.

Prime Factor Structure

Factorization String 13 × 29 × 43 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,802,720
Proper Divisor Sum 728,677
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5074033 ← → #5074051

Radix Representation

Decimal 5074043
Binary 10011010110110001111011 (23 bits)
Octal 0o23266173
Hexadecimal 0x4D6C7B

Divisor Catalog (16)

1 13 29 43 313 377 559 1,247 4,069 9,077 13,459 16,211 118,001 174,967 390,311 5,074,043

Collatz Trajectory (263 steps to reach 1)

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

5,074,043 15,222,130 7,611,065 22,833,196 11,416,598 5,708,299 17,124,898 8,562,449 25,687,348 12,843,674 6,421,837 19,265,512 9,632,756 4,816,378 2,408,189 7,224,568 3,612,284 1,806,142 903,071 2,709,214 1,354,607 4,063,822 2,031,911 6,095,734 3,047,867 9,143,602 4,571,801 13,715,404 6,857,702 3,428,851 10,286,554 5,143,277 15,429,832 7,714,916 3,857,458 1,928,729 5,786,188 2,893,094 1,446,547 4,339,642 2,169,821 6,509,464 3,254,732 1,627,366 813,683 2,441,050 1,220,525 3,661,576 1,830,788 915,394 457,697 1,373,092 686,546 343,273 1,029,820 514,910 257,455 772,366 386,183 1,158,550

More profiles

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