λ
Harmonic Matrix

9,292,790

2 × 5 × 13 × 71483
Deficient Even Composite

9,292,790 has digital root 2. The neighboring primes are 9292783 and 9292837; its proper-divisor sum differs from the starting integer by -571,612.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 71483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,013,968
Proper Divisor Sum 8,721,178
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9292783 ← → #9292837

Radix Representation

Decimal 9292790
Binary 100011011100101111110110 (24 bits)
Octal 0o43345766
Hexadecimal 0x8DCBF6

Divisor Catalog (16)

1 2 5 10 13 26 65 130 71,483 142,966 357,415 714,830 929,279 1,858,558 4,646,395 9,292,790

Collatz Trajectory (194 steps to reach 1)

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

9,292,790 4,646,395 13,939,186 6,969,593 20,908,780 10,454,390 5,227,195 15,681,586 7,840,793 23,522,380 11,761,190 5,880,595 17,641,786 8,820,893 26,462,680 13,231,340 6,615,670 3,307,835 9,923,506 4,961,753 14,885,260 7,442,630 3,721,315 11,163,946 5,581,973 16,745,920 8,372,960 4,186,480 2,093,240 1,046,620 523,310 261,655 784,966 392,483 1,177,450 588,725 1,766,176 883,088 441,544 220,772 110,386 55,193 165,580 82,790 41,395 124,186 62,093 186,280 93,140 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826

More profiles

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