λ
Harmonic Matrix

2,023,093

2023093
Deficient Odd Prime

2,023,093 has digital root 1. The neighboring primes are 2023081 and 2023097; its proper-divisor sum differs from the starting integer by -2,023,092.

Prime Factor Structure

Factorization String 2023093
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,023,094
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2023081 ← → #2023097

Radix Representation

Decimal 2023093
Binary 111101101111010110101 (21 bits)
Octal 0o7557265
Hexadecimal 0x1EDEB5

Divisor Catalog (2)

Collatz Trajectory (83 steps to reach 1)

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

2,023,093 6,069,280 3,034,640 1,517,320 758,660 379,330 189,665 568,996 284,498 142,249 426,748 213,374 106,687 320,062 160,031 480,094 240,047 720,142 360,071 1,080,214 540,107 1,620,322 810,161 2,430,484 1,215,242 607,621 1,822,864 911,432 455,716 227,858 113,929 341,788 170,894 85,447 256,342 128,171 384,514 192,257 576,772 288,386 144,193 432,580 216,290 108,145 324,436 162,218 81,109 243,328 121,664 60,832 30,416 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140

More profiles

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