λ
Harmonic Matrix

4,125,242

2 × 11 × 19 × 71 × 139
Deficient Even Composite

4,125,242 has digital root 2. The neighboring primes are 4125229 and 4125259; its proper-divisor sum differs from the starting integer by -992,884.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 71 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 3,132,358
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4125229 ← → #4125259

Radix Representation

Decimal 4125242
Binary 1111101111001000111010 (22 bits)
Octal 0o17571072
Hexadecimal 0x3EF23A

Divisor Catalog (32)

1 2 11 19 22 38 71 139 142 209 278 418 781 1,349 1,529 1,562 2,641 2,698 3,058 5,282 9,869 14,839 19,738 29,051 29,678 58,102 108,559 187,511 217,118 375,022 2,062,621 4,125,242

Collatz Trajectory (185 steps to reach 1)

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

4,125,242 2,062,621 6,187,864 3,093,932 1,546,966 773,483 2,320,450 1,160,225 3,480,676 1,740,338 870,169 2,610,508 1,305,254 652,627 1,957,882 978,941 2,936,824 1,468,412 734,206 367,103 1,101,310 550,655 1,651,966 825,983 2,477,950 1,238,975 3,716,926 1,858,463 5,575,390 2,787,695 8,363,086 4,181,543 12,544,630 6,272,315 18,816,946 9,408,473 28,225,420 14,112,710 7,056,355 21,169,066 10,584,533 31,753,600 15,876,800 7,938,400 3,969,200 1,984,600 992,300 496,150 248,075 744,226 372,113 1,116,340 558,170 279,085 837,256 418,628 209,314 104,657 313,972 156,986

More profiles

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