λ
Harmonic Matrix

5,945,428

22 × 31 × 47947
Deficient Even Composite

5,945,428 has digital root 1. The neighboring primes are 5945413 and 5945449; its proper-divisor sum differs from the starting integer by -1,150,504.

Prime Factor Structure

Factorization String 2^2 × 31 × 47947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,740,352
Proper Divisor Sum 4,794,924
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5945413 ← → #5945449

Radix Representation

Decimal 5945428
Binary 10110101011100001010100 (23 bits)
Octal 0o26534124
Hexadecimal 0x5AB854

Divisor Catalog (12)

1 2 4 31 62 124 47,947 95,894 191,788 1,486,357 2,972,714 5,945,428

Collatz Trajectory (165 steps to reach 1)

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

5,945,428 2,972,714 1,486,357 4,459,072 2,229,536 1,114,768 557,384 278,692 139,346 69,673 209,020 104,510 52,255 156,766 78,383 235,150 117,575 352,726 176,363 529,090 264,545 793,636 396,818 198,409 595,228 297,614 148,807 446,422 223,211 669,634 334,817 1,004,452 502,226 251,113 753,340 376,670 188,335 565,006 282,503 847,510 423,755 1,271,266 635,633 1,906,900 953,450 476,725 1,430,176 715,088 357,544 178,772 89,386 44,693 134,080 67,040 33,520 16,760 8,380 4,190 2,095 6,286

More profiles

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