λ
Harmonic Matrix

4,987,536

24 × 3 × 29 × 3583
Abundant Even Composite

4,987,536 has digital root 6. The neighboring primes are 4987531 and 4987561; its proper-divisor sum differs from the starting integer by 3,357,408.

Prime Factor Structure

Factorization String 2^4 × 3 × 29 × 3583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,332,480
Proper Divisor Sum 8,344,944
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4987531 ← → #4987561

Radix Representation

Decimal 4987536
Binary 10011000001101010010000 (23 bits)
Octal 0o23015220
Hexadecimal 0x4C1A90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1,392 3,583 7,166 10,749 14,332 21,498 28,664 42,996 57,328 85,992 103,907 171,984 207,814 311,721 415,628 623,442 831,256 1,246,884 1,662,512 2,493,768 4,987,536

Collatz Trajectory (188 steps to reach 1)

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

4,987,536 2,493,768 1,246,884 623,442 311,721 935,164 467,582 233,791 701,374 350,687 1,052,062 526,031 1,578,094 789,047 2,367,142 1,183,571 3,550,714 1,775,357 5,326,072 2,663,036 1,331,518 665,759 1,997,278 998,639 2,995,918 1,497,959 4,493,878 2,246,939 6,740,818 3,370,409 10,111,228 5,055,614 2,527,807 7,583,422 3,791,711 11,375,134 5,687,567 17,062,702 8,531,351 25,594,054 12,797,027 38,391,082 19,195,541 57,586,624 28,793,312 14,396,656 7,198,328 3,599,164 1,799,582 899,791 2,699,374 1,349,687 4,049,062 2,024,531 6,073,594 3,036,797 9,110,392 4,555,196 2,277,598 1,138,799

More profiles

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