λ
Harmonic Matrix

2,067,647

2067647
Deficient Odd Prime

2,067,647 has digital root 5. The neighboring primes are 2067623 and 2067661; its proper-divisor sum differs from the starting integer by -2,067,646.

Prime Factor Structure

Factorization String 2067647
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,067,648
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2067623 ← → #2067661

Radix Representation

Decimal 2067647
Binary 111111000110010111111 (21 bits)
Octal 0o7706277
Hexadecimal 0x1F8CBF

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

2,067,647 6,202,942 3,101,471 9,304,414 4,652,207 13,956,622 6,978,311 20,934,934 10,467,467 31,402,402 15,701,201 47,103,604 23,551,802 11,775,901 35,327,704 17,663,852 8,831,926 4,415,963 13,247,890 6,623,945 19,871,836 9,935,918 4,967,959 14,903,878 7,451,939 22,355,818 11,177,909 33,533,728 16,766,864 8,383,432 4,191,716 2,095,858 1,047,929 3,143,788 1,571,894 785,947 2,357,842 1,178,921 3,536,764 1,768,382 884,191 2,652,574 1,326,287 3,978,862 1,989,431 5,968,294 2,984,147 8,952,442 4,476,221 13,428,664 6,714,332 3,357,166 1,678,583 5,035,750 2,517,875 7,553,626 3,776,813 11,330,440 5,665,220 2,832,610

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