λ
Harmonic Matrix

4,538,428

22 × 1134607
Deficient Even Composite

4,538,428 has digital root 7. The neighboring primes are 4538407 and 4538441; its proper-divisor sum differs from the starting integer by -1,134,600.

Prime Factor Structure

Factorization String 2^2 × 1134607
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,942,256
Proper Divisor Sum 3,403,828
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4538407 ← → #4538441

Radix Representation

Decimal 4538428
Binary 10001010100000000111100 (23 bits)
Octal 0o21240074
Hexadecimal 0x45403C

Divisor Catalog (6)

1 2 4 1,134,607 2,269,214 4,538,428

Collatz Trajectory (131 steps to reach 1)

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

4,538,428 2,269,214 1,134,607 3,403,822 1,701,911 5,105,734 2,552,867 7,658,602 3,829,301 11,487,904 5,743,952 2,871,976 1,435,988 717,994 358,997 1,076,992 538,496 269,248 134,624 67,312 33,656 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772

More profiles

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