λ
Harmonic Matrix

673,230

2 × 3 × 5 × 22441
Abundant Even Composite

673,230 has digital root 3. The neighboring primes are 673223 and 673241; its proper-divisor sum differs from the starting integer by 269,364.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 22441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,615,824
Proper Divisor Sum 942,594
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #673223 ← → #673241

Radix Representation

Decimal 673230
Binary 10100100010111001110 (20 bits)
Octal 0o2442716
Hexadecimal 0xA45CE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 22,441 44,882 67,323 112,205 134,646 224,410 336,615 673,230

Collatz Trajectory (229 steps to reach 1)

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

673,230 336,615 1,009,846 504,923 1,514,770 757,385 2,272,156 1,136,078 568,039 1,704,118 852,059 2,556,178 1,278,089 3,834,268 1,917,134 958,567 2,875,702 1,437,851 4,313,554 2,156,777 6,470,332 3,235,166 1,617,583 4,852,750 2,426,375 7,279,126 3,639,563 10,918,690 5,459,345 16,378,036 8,189,018 4,094,509 12,283,528 6,141,764 3,070,882 1,535,441 4,606,324 2,303,162 1,151,581 3,454,744 1,727,372 863,686 431,843 1,295,530 647,765 1,943,296 971,648 485,824 242,912 121,456 60,728 30,364 15,182 7,591 22,774 11,387 34,162 17,081 51,244 25,622

More profiles

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