λ
Harmonic Matrix

5,216,988

22 × 3 × 7 × 173 × 359
Abundant Even Composite

5,216,988 has digital root 3. The neighboring primes are 5216971 and 5216993; its proper-divisor sum differs from the starting integer by 3,597,384.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 173 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,031,360
Proper Divisor Sum 8,814,372
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5216971 ← → #5216993

Radix Representation

Decimal 5216988
Binary 10011111001101011011100 (23 bits)
Octal 0o23715334
Hexadecimal 0x4F9ADC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 173 346 359 519 692 718 1,038 1,077 1,211 1,436 2,076 2,154 2,422 2,513 3,633 4,308 4,844 5,026 7,266 7,539 10,052 14,532 15,078 30,156 62,107 124,214 186,321 248,428 372,642 434,749 745,284 869,498 1,304,247 1,738,996 2,608,494 5,216,988

Collatz Trajectory (219 steps to reach 1)

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

5,216,988 2,608,494 1,304,247 3,912,742 1,956,371 5,869,114 2,934,557 8,803,672 4,401,836 2,200,918 1,100,459 3,301,378 1,650,689 4,952,068 2,476,034 1,238,017 3,714,052 1,857,026 928,513 2,785,540 1,392,770 696,385 2,089,156 1,044,578 522,289 1,566,868 783,434 391,717 1,175,152 587,576 293,788 146,894 73,447 220,342 110,171 330,514 165,257 495,772 247,886 123,943 371,830 185,915 557,746 278,873 836,620 418,310 209,155 627,466 313,733 941,200 470,600 235,300 117,650 58,825 176,476 88,238 44,119 132,358 66,179 198,538

More profiles

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