λ
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28,124,228

22 × 11 × 661 × 967
Deficient Even Composite

28,124,228 factors as 2^2 × 11 × 661 × 967. Its 24 positive divisors give a proper-divisor sum of 25,704,316, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 661 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 53,828,544
Proper Divisor Sum 25,704,316
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #28124221 ← → #28124293

Radix Representation

Decimal 28124228
Binary 1101011010010010001000100 (25 bits)
Octal 0o153222104
Hexadecimal 0x1AD2444

Divisor Catalog (24)

1 2 4 11 22 44 661 967 1,322 1,934 2,644 3,868 7,271 10,637 14,542 21,274 29,084 42,548 639,187 1,278,374 2,556,748 7,031,057 14,062,114 28,124,228

Collatz Trajectory (100 steps to reach 1)

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

28,124,228 14,062,114 7,031,057 21,093,172 10,546,586 5,273,293 15,819,880 7,909,940 3,954,970 1,977,485 5,932,456 2,966,228 1,483,114 741,557 2,224,672 1,112,336 556,168 278,084 139,042 69,521 208,564 104,282 52,141 156,424 78,212 39,106 19,553 58,660 29,330 14,665 43,996 21,998 10,999 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827

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