λ
Harmonic Matrix

1,020,379

1020379
Deficient Odd Prime

1,020,379 has digital root 4. The neighboring primes are 1020361 and 1020389; its proper-divisor sum differs from the starting integer by -1,020,378.

Prime Factor Structure

Factorization String 1020379
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,020,380
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1020361 ← → #1020389

Radix Representation

Decimal 1020379
Binary 11111001000111011011 (20 bits)
Octal 0o3710733
Hexadecimal 0xF91DB

Divisor Catalog (2)

1 1,020,379

Collatz Trajectory (183 steps to reach 1)

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

1,020,379 3,061,138 1,530,569 4,591,708 2,295,854 1,147,927 3,443,782 1,721,891 5,165,674 2,582,837 7,748,512 3,874,256 1,937,128 968,564 484,282 242,141 726,424 363,212 181,606 90,803 272,410 136,205 408,616 204,308 102,154 51,077 153,232 76,616 38,308 19,154 9,577 28,732 14,366 7,183 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479

More profiles

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