λ
Harmonic Matrix

9,292,742

2 × 4646371
Deficient Even Composite

9,292,742 has digital root 8. The neighboring primes are 9292741 and 9292753; its proper-divisor sum differs from the starting integer by -4,646,368.

Prime Factor Structure

Factorization String 2 × 4646371
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,939,116
Proper Divisor Sum 4,646,374
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9292741 ← → #9292753

Radix Representation

Decimal 9292742
Binary 100011011100101111000110 (24 bits)
Octal 0o43345706
Hexadecimal 0x8DCBC6

Divisor Catalog (4)

1 2 4,646,371 9,292,742

Collatz Trajectory (101 steps to reach 1)

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

9,292,742 4,646,371 13,939,114 6,969,557 20,908,672 10,454,336 5,227,168 2,613,584 1,306,792 653,396 326,698 163,349 490,048 245,024 122,512 61,256 30,628 15,314 7,657 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832

More profiles

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