λ
Prime Ledger

2,422,189

7 × 11 × 83 × 379
Deficient Odd Composite

2,422,189 has the prime decomposition 7 × 11 × 83 × 379. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 83 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,064,320
Proper Divisor Sum 642,131
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2422183 ← → #2422201

Radix Representation

Decimal 2422189
Binary 1001001111010110101101 (22 bits)
Octal 0o11172655
Hexadecimal 0x24F5AD

Divisor Catalog (16)

1 7 11 77 83 379 581 913 2,653 4,169 6,391 29,183 31,457 220,199 346,027 2,422,189

Collatz Trajectory (112 steps to reach 1)

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

2,422,189 7,266,568 3,633,284 1,816,642 908,321 2,724,964 1,362,482 681,241 2,043,724 1,021,862 510,931 1,532,794 766,397 2,299,192 1,149,596 574,798 287,399 862,198 431,099 1,293,298 646,649 1,939,948 969,974 484,987 1,454,962 727,481 2,182,444 1,091,222 545,611 1,636,834 818,417 2,455,252 1,227,626 613,813 1,841,440 920,720 460,360 230,180 115,090 57,545 172,636 86,318 43,159 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854 427

More profiles

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