λ
Prime Ledger

3,019,401

32 × 7 × 11 × 4357
Deficient Odd Composite

3,019,401 has the prime decomposition 3^2 × 7 × 11 × 4357. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 4357
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,438,784
Proper Divisor Sum 2,419,383
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3019397 ← → #3019411

Radix Representation

Decimal 3019401
Binary 1011100001001010001001 (22 bits)
Octal 0o13411211
Hexadecimal 0x2E1289

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 4,357 13,071 30,499 39,213 47,927 91,497 143,781 274,491 335,489 431,343 1,006,467 3,019,401

Collatz Trajectory (213 steps to reach 1)

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

3,019,401 9,058,204 4,529,102 2,264,551 6,793,654 3,396,827 10,190,482 5,095,241 15,285,724 7,642,862 3,821,431 11,464,294 5,732,147 17,196,442 8,598,221 25,794,664 12,897,332 6,448,666 3,224,333 9,673,000 4,836,500 2,418,250 1,209,125 3,627,376 1,813,688 906,844 453,422 226,711 680,134 340,067 1,020,202 510,101 1,530,304 765,152 382,576 191,288 95,644 47,822 23,911 71,734 35,867 107,602 53,801 161,404 80,702 40,351 121,054 60,527 181,582 90,791 272,374 136,187 408,562 204,281 612,844 306,422 153,211 459,634 229,817 689,452

More profiles

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