λ
Harmonic Matrix

4,588,491

3 × 839 × 1823
Deficient Odd Composite

4,588,491 has digital root 3. The neighboring primes are 4588483 and 4588499; its proper-divisor sum differs from the starting integer by -3,048,342.

Prime Factor Structure

Factorization String 3 × 839 × 1823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,128,640
Proper Divisor Sum 1,540,149
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4588483 ← → #4588499

Radix Representation

Decimal 4588491
Binary 10001100000001111001011 (23 bits)
Octal 0o21401713
Hexadecimal 0x4603CB

Divisor Catalog (8)

1 3 839 1,823 2,517 5,469 1,529,497 4,588,491

Collatz Trajectory (105 steps to reach 1)

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

4,588,491 13,765,474 6,882,737 20,648,212 10,324,106 5,162,053 15,486,160 7,743,080 3,871,540 1,935,770 967,885 2,903,656 1,451,828 725,914 362,957 1,088,872 544,436 272,218 136,109 408,328 204,164 102,082 51,041 153,124 76,562 38,281 114,844 57,422 28,711 86,134 43,067 129,202 64,601 193,804 96,902 48,451 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809

More profiles

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