λ
Harmonic Matrix

9,518,442

2 × 3 × 101 × 113 × 139
Abundant Even Composite

9,518,442 has digital root 6. The neighboring primes are 9518417 and 9518471; its proper-divisor sum differs from the starting integer by 498,156.

Prime Factor Structure

Factorization String 2 × 3 × 101 × 113 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,535,040
Proper Divisor Sum 10,016,598
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9518417 ← → #9518471

Radix Representation

Decimal 9518442
Binary 100100010011110101101010 (24 bits)
Octal 0o44236552
Hexadecimal 0x913D6A

Divisor Catalog (32)

1 2 3 6 101 113 139 202 226 278 303 339 417 606 678 834 11,413 14,039 15,707 22,826 28,078 31,414 34,239 42,117 47,121 68,478 84,234 94,242 1,586,407 3,172,814 4,759,221 9,518,442

Collatz Trajectory (101 steps to reach 1)

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

9,518,442 4,759,221 14,277,664 7,138,832 3,569,416 1,784,708 892,354 446,177 1,338,532 669,266 334,633 1,003,900 501,950 250,975 752,926 376,463 1,129,390 564,695 1,694,086 847,043 2,541,130 1,270,565 3,811,696 1,905,848 952,924 476,462 238,231 714,694 357,347 1,072,042 536,021 1,608,064 804,032 402,016 201,008 100,504 50,252 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064

More profiles

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