λ
Harmonic Matrix

2,958,128

24 × 293 × 631
Deficient Even Composite

2,958,128 has digital root 8. The neighboring primes are 2958101 and 2958139; its proper-divisor sum differs from the starting integer by -156,208.

Prime Factor Structure

Factorization String 2^4 × 293 × 631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,760,048
Proper Divisor Sum 2,801,920
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2958101 ← → #2958139

Radix Representation

Decimal 2958128
Binary 1011010010001100110000 (22 bits)
Octal 0o13221460
Hexadecimal 0x2D2330

Divisor Catalog (20)

1 2 4 8 16 293 586 631 1,172 1,262 2,344 2,524 4,688 5,048 10,096 184,883 369,766 739,532 1,479,064 2,958,128

Collatz Trajectory (63 steps to reach 1)

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

2,958,128 1,479,064 739,532 369,766 184,883 554,650 277,325 831,976 415,988 207,994 103,997 311,992 155,996 77,998 38,999 116,998 58,499 175,498 87,749 263,248 131,624 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

More profiles

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