λ
Harmonic Matrix

4,432,460

22 × 5 × 221623
Abundant Even Composite

4,432,460 has digital root 5. The neighboring primes are 4432457 and 4432471; its proper-divisor sum differs from the starting integer by 443,288.

Prime Factor Structure

Factorization String 2^2 × 5 × 221623
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,308,208
Proper Divisor Sum 4,875,748
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4432457 ← → #4432471

Radix Representation

Decimal 4432460
Binary 10000111010001001001100 (23 bits)
Octal 0o20721114
Hexadecimal 0x43A24C

Divisor Catalog (12)

1 2 4 5 10 20 221,623 443,246 886,492 1,108,115 2,216,230 4,432,460

Collatz Trajectory (180 steps to reach 1)

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

4,432,460 2,216,230 1,108,115 3,324,346 1,662,173 4,986,520 2,493,260 1,246,630 623,315 1,869,946 934,973 2,804,920 1,402,460 701,230 350,615 1,051,846 525,923 1,577,770 788,885 2,366,656 1,183,328 591,664 295,832 147,916 73,958 36,979 110,938 55,469 166,408 83,204 41,602 20,801 62,404 31,202 15,601 46,804 23,402 11,701 35,104 17,552 8,776 4,388 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696

More profiles

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