λ
Harmonic Matrix

4,341,426

2 × 3 × 17 × 31 × 1373
Abundant Even Composite

4,341,426 has digital root 6. The neighboring primes are 4341419 and 4341427; its proper-divisor sum differs from the starting integer by 814,236.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 31 × 1373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,497,088
Proper Divisor Sum 5,155,662
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4341419 ← → #4341427

Radix Representation

Decimal 4341426
Binary 10000100011111010110010 (23 bits)
Octal 0o20437262
Hexadecimal 0x423EB2

Divisor Catalog (32)

1 2 3 6 17 31 34 51 62 93 102 186 527 1,054 1,373 1,581 2,746 3,162 4,119 8,238 23,341 42,563 46,682 70,023 85,126 127,689 140,046 255,378 723,571 1,447,142 2,170,713 4,341,426

Collatz Trajectory (66 steps to reach 1)

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

4,341,426 2,170,713 6,512,140 3,256,070 1,628,035 4,884,106 2,442,053 7,326,160 3,663,080 1,831,540 915,770 457,885 1,373,656 686,828 343,414 171,707 515,122 257,561 772,684 386,342 193,171 579,514 289,757 869,272 434,636 217,318 108,659 325,978 162,989 488,968 244,484 122,242 61,121 183,364 91,682 45,841 137,524 68,762 34,381 103,144 51,572 25,786 12,893 38,680 19,340 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128

More profiles

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