λ
Harmonic Matrix

2,661,871

2661871
Deficient Odd Prime

2,661,871 has digital root 4. The neighboring primes are 2661863 and 2661899; its proper-divisor sum differs from the starting integer by -2,661,870.

Prime Factor Structure

Factorization String 2661871
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,661,872
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2661863 ← → #2661899

Radix Representation

Decimal 2661871
Binary 1010001001110111101111 (22 bits)
Octal 0o12116757
Hexadecimal 0x289DEF

Divisor Catalog (2)

Collatz Trajectory (169 steps to reach 1)

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

2,661,871 7,985,614 3,992,807 11,978,422 5,989,211 17,967,634 8,983,817 26,951,452 13,475,726 6,737,863 20,213,590 10,106,795 30,320,386 15,160,193 45,480,580 22,740,290 11,370,145 34,110,436 17,055,218 8,527,609 25,582,828 12,791,414 6,395,707 19,187,122 9,593,561 28,780,684 14,390,342 7,195,171 21,585,514 10,792,757 32,378,272 16,189,136 8,094,568 4,047,284 2,023,642 1,011,821 3,035,464 1,517,732 758,866 379,433 1,138,300 569,150 284,575 853,726 426,863 1,280,590 640,295 1,920,886 960,443 2,881,330 1,440,665 4,321,996 2,160,998 1,080,499 3,241,498 1,620,749 4,862,248 2,431,124 1,215,562 607,781

More profiles

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