λ
Harmonic Matrix

2,147,982

2 × 3 × 357997
Abundant Even Composite

2,147,982 has digital root 6. The neighboring primes are 2147941 and 2147987; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 357997
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,295,976
Proper Divisor Sum 2,147,994
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2147941 ← → #2147987

Radix Representation

Decimal 2147982
Binary 1000001100011010001110 (22 bits)
Octal 0o10143216
Hexadecimal 0x20C68E

Divisor Catalog (8)

1 2 3 6 357,997 715,994 1,073,991 2,147,982

Collatz Trajectory (148 steps to reach 1)

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

2,147,982 1,073,991 3,221,974 1,610,987 4,832,962 2,416,481 7,249,444 3,624,722 1,812,361 5,437,084 2,718,542 1,359,271 4,077,814 2,038,907 6,116,722 3,058,361 9,175,084 4,587,542 2,293,771 6,881,314 3,440,657 10,321,972 5,160,986 2,580,493 7,741,480 3,870,740 1,935,370 967,685 2,903,056 1,451,528 725,764 362,882 181,441 544,324 272,162 136,081 408,244 204,122 102,061 306,184 153,092 76,546 38,273 114,820 57,410 28,705 86,116 43,058 21,529 64,588 32,294 16,147 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625

More profiles

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