λ
Prime Ledger

4,070,028

22 × 3 × 19 × 17851
Abundant Even Composite

4,070,028 has the prime decomposition 2^2 × 3 × 19 × 17851. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 17851
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,997,120
Proper Divisor Sum 5,927,092
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4069991 ← → #4070051

Radix Representation

Decimal 4070028
Binary 1111100001101010001100 (22 bits)
Octal 0o17415214
Hexadecimal 0x3E1A8C

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 17,851 35,702 53,553 71,404 107,106 214,212 339,169 678,338 1,017,507 1,356,676 2,035,014 4,070,028

Collatz Trajectory (123 steps to reach 1)

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

4,070,028 2,035,014 1,017,507 3,052,522 1,526,261 4,578,784 2,289,392 1,144,696 572,348 286,174 143,087 429,262 214,631 643,894 321,947 965,842 482,921 1,448,764 724,382 362,191 1,086,574 543,287 1,629,862 814,931 2,444,794 1,222,397 3,667,192 1,833,596 916,798 458,399 1,375,198 687,599 2,062,798 1,031,399 3,094,198 1,547,099 4,641,298 2,320,649 6,961,948 3,480,974 1,740,487 5,221,462 2,610,731 7,832,194 3,916,097 11,748,292 5,874,146 2,937,073 8,811,220 4,405,610 2,202,805 6,608,416 3,304,208 1,652,104 826,052 413,026 206,513 619,540 309,770 154,885

More profiles

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