λ
Harmonic Matrix

2,172,942

2 × 32 × 61 × 1979
Abundant Even Composite

2,172,942 has digital root 9. The neighboring primes are 2172917 and 2172943; its proper-divisor sum differs from the starting integer by 441,756.

Prime Factor Structure

Factorization String 2 × 3^2 × 61 × 1979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,787,640
Proper Divisor Sum 2,614,698
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2172917 ← → #2172943

Radix Representation

Decimal 2172942
Binary 1000010010100000001110 (22 bits)
Octal 0o10224016
Hexadecimal 0x21280E

Divisor Catalog (24)

1 2 3 6 9 18 61 122 183 366 549 1,098 1,979 3,958 5,937 11,874 17,811 35,622 120,719 241,438 362,157 724,314 1,086,471 2,172,942

Collatz Trajectory (91 steps to reach 1)

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

2,172,942 1,086,471 3,259,414 1,629,707 4,889,122 2,444,561 7,333,684 3,666,842 1,833,421 5,500,264 2,750,132 1,375,066 687,533 2,062,600 1,031,300 515,650 257,825 773,476 386,738 193,369 580,108 290,054 145,027 435,082 217,541 652,624 326,312 163,156 81,578 40,789 122,368 61,184 30,592 15,296 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

More profiles

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