λ
Harmonic Matrix

4,321,890

2 × 33 × 5 × 16007
Abundant Even Composite

4,321,890 has digital root 9. The neighboring primes are 4321883 and 4321897; its proper-divisor sum differs from the starting integer by 2,881,980.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 16007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,525,760
Proper Divisor Sum 7,203,870
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4321883 ← → #4321897

Radix Representation

Decimal 4321890
Binary 10000011111001001100010 (23 bits)
Octal 0o20371142
Hexadecimal 0x41F262

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 16,007 32,014 48,021 80,035 96,042 144,063 160,070 240,105 288,126 432,189 480,210 720,315 864,378 1,440,630 2,160,945 4,321,890

Collatz Trajectory (118 steps to reach 1)

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

4,321,890 2,160,945 6,482,836 3,241,418 1,620,709 4,862,128 2,431,064 1,215,532 607,766 303,883 911,650 455,825 1,367,476 683,738 341,869 1,025,608 512,804 256,402 128,201 384,604 192,302 96,151 288,454 144,227 432,682 216,341 649,024 324,512 162,256 81,128 40,564 20,282 10,141 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430

More profiles

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