λ
Harmonic Matrix

4,587,594

2 × 3 × 112 × 71 × 89
Abundant Even Composite

4,587,594 has digital root 6. The neighboring primes are 4587589 and 4587599; its proper-divisor sum differs from the starting integer by 1,166,892.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 71 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,342,080
Proper Divisor Sum 5,754,486
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4587589 ← → #4587599

Radix Representation

Decimal 4587594
Binary 10001100000000001001010 (23 bits)
Octal 0o21400112
Hexadecimal 0x46004A

Divisor Catalog (48)

1 2 3 6 11 22 33 66 71 89 121 142 178 213 242 267 363 426 534 726 781 979 1,562 1,958 2,343 2,937 4,686 5,874 6,319 8,591 10,769 12,638 17,182 18,957 21,538 25,773 32,307 37,914 51,546 64,614 69,509 139,018 208,527 417,054 764,599 1,529,198 2,293,797 4,587,594

Collatz Trajectory (131 steps to reach 1)

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

4,587,594 2,293,797 6,881,392 3,440,696 1,720,348 860,174 430,087 1,290,262 645,131 1,935,394 967,697 2,903,092 1,451,546 725,773 2,177,320 1,088,660 544,330 272,165 816,496 408,248 204,124 102,062 51,031 153,094 76,547 229,642 114,821 344,464 172,232 86,116 43,058 21,529 64,588 32,294 16,147 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105

More profiles

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