λ
Harmonic Matrix

1,530,461

47 × 32563
Deficient Odd Composite

1,530,461 has digital root 2. The neighboring primes are 1530457 and 1530511; its proper-divisor sum differs from the starting integer by -1,497,850.

Prime Factor Structure

Factorization String 47 × 32563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,563,072
Proper Divisor Sum 32,611
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1530457 ← → #1530511

Radix Representation

Decimal 1530461
Binary 101110101101001011101 (21 bits)
Octal 0o5655135
Hexadecimal 0x175A5D

Divisor Catalog (4)

1 47 32,563 1,530,461

Collatz Trajectory (150 steps to reach 1)

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

1,530,461 4,591,384 2,295,692 1,147,846 573,923 1,721,770 860,885 2,582,656 1,291,328 645,664 322,832 161,416 80,708 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

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