λ
Harmonic Matrix

2,059,271

2059271
Deficient Odd Prime

2,059,271 has digital root 8. The neighboring primes are 2059249 and 2059273; its proper-divisor sum differs from the starting integer by -2,059,270.

Prime Factor Structure

Factorization String 2059271
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,059,272
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2059249 ← → #2059273

Radix Representation

Decimal 2059271
Binary 111110110110000000111 (21 bits)
Octal 0o7666007
Hexadecimal 0x1F6C07

Divisor Catalog (2)

Collatz Trajectory (104 steps to reach 1)

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

2,059,271 6,177,814 3,088,907 9,266,722 4,633,361 13,900,084 6,950,042 3,475,021 10,425,064 5,212,532 2,606,266 1,303,133 3,909,400 1,954,700 977,350 488,675 1,466,026 733,013 2,199,040 1,099,520 549,760 274,880 137,440 68,720 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180

More profiles

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