λ
Harmonic Matrix

2,079,997

2079997
Deficient Odd Prime

2,079,997 has digital root 7. The neighboring primes are 2079943 and 2080003; its proper-divisor sum differs from the starting integer by -2,079,996.

Prime Factor Structure

Factorization String 2079997
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,079,998
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2079943 ← → #2080003

Radix Representation

Decimal 2079997
Binary 111111011110011111101 (21 bits)
Octal 0o7736375
Hexadecimal 0x1FBCFD

Divisor Catalog (2)

Collatz Trajectory (184 steps to reach 1)

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

2,079,997 6,239,992 3,119,996 1,559,998 779,999 2,339,998 1,169,999 3,509,998 1,754,999 5,264,998 2,632,499 7,897,498 3,948,749 11,846,248 5,923,124 2,961,562 1,480,781 4,442,344 2,221,172 1,110,586 555,293 1,665,880 832,940 416,470 208,235 624,706 312,353 937,060 468,530 234,265 702,796 351,398 175,699 527,098 263,549 790,648 395,324 197,662 98,831 296,494 148,247 444,742 222,371 667,114 333,557 1,000,672 500,336 250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542 52,771 158,314 79,157

More profiles

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