λ
Harmonic Matrix

2,682,427

11 × 243857
Deficient Odd Composite

2,682,427 has digital root 4. The neighboring primes are 2682397 and 2682457; its proper-divisor sum differs from the starting integer by -2,438,558.

Prime Factor Structure

Factorization String 11 × 243857
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,926,296
Proper Divisor Sum 243,869
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2682397 ← → #2682457

Radix Representation

Decimal 2682427
Binary 1010001110111000111011 (22 bits)
Octal 0o12167073
Hexadecimal 0x28EE3B

Divisor Catalog (4)

1 11 243,857 2,682,427

Collatz Trajectory (275 steps to reach 1)

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

2,682,427 8,047,282 4,023,641 12,070,924 6,035,462 3,017,731 9,053,194 4,526,597 13,579,792 6,789,896 3,394,948 1,697,474 848,737 2,546,212 1,273,106 636,553 1,909,660 954,830 477,415 1,432,246 716,123 2,148,370 1,074,185 3,222,556 1,611,278 805,639 2,416,918 1,208,459 3,625,378 1,812,689 5,438,068 2,719,034 1,359,517 4,078,552 2,039,276 1,019,638 509,819 1,529,458 764,729 2,294,188 1,147,094 573,547 1,720,642 860,321 2,580,964 1,290,482 645,241 1,935,724 967,862 483,931 1,451,794 725,897 2,177,692 1,088,846 544,423 1,633,270 816,635 2,449,906 1,224,953 3,674,860

More profiles

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