λ
Modular Archive

4,008,825

33 × 52 × 5939
Deficient Odd Composite

The decimal integer 4,008,825 is 1111010010101101111001 in binary (22 bits), 17225571 in octal and 3D2B79 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 5939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,365,600
Proper Divisor Sum 3,356,775
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4008799 ← → #4008841

Radix Representation

Decimal 4008825
Binary 1111010010101101111001 (22 bits)
Octal 0o17225571
Hexadecimal 0x3D2B79

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 5,939 17,817 29,695 53,451 89,085 148,475 160,353 267,255 445,425 801,765 1,336,275 4,008,825

Collatz Trajectory (167 steps to reach 1)

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

4,008,825 12,026,476 6,013,238 3,006,619 9,019,858 4,509,929 13,529,788 6,764,894 3,382,447 10,147,342 5,073,671 15,221,014 7,610,507 22,831,522 11,415,761 34,247,284 17,123,642 8,561,821 25,685,464 12,842,732 6,421,366 3,210,683 9,632,050 4,816,025 14,448,076 7,224,038 3,612,019 10,836,058 5,418,029 16,254,088 8,127,044 4,063,522 2,031,761 6,095,284 3,047,642 1,523,821 4,571,464 2,285,732 1,142,866 571,433 1,714,300 857,150 428,575 1,285,726 642,863 1,928,590 964,295 2,892,886 1,446,443 4,339,330 2,169,665 6,508,996 3,254,498 1,627,249 4,881,748 2,440,874 1,220,437 3,661,312 1,830,656 915,328

More profiles

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