λ
Harmonic Matrix

9,427,393

179 × 52667
Deficient Odd Composite

9,427,393 has digital root 1. The neighboring primes are 9427387 and 9427399; its proper-divisor sum differs from the starting integer by -9,374,546.

Prime Factor Structure

Factorization String 179 × 52667
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,480,240
Proper Divisor Sum 52,847
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9427387 ← → #9427399

Radix Representation

Decimal 9427393
Binary 100011111101100111000001 (24 bits)
Octal 0o43754701
Hexadecimal 0x8FD9C1

Divisor Catalog (4)

1 179 52,667 9,427,393

Collatz Trajectory (194 steps to reach 1)

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

9,427,393 28,282,180 14,141,090 7,070,545 21,211,636 10,605,818 5,302,909 15,908,728 7,954,364 3,977,182 1,988,591 5,965,774 2,982,887 8,948,662 4,474,331 13,422,994 6,711,497 20,134,492 10,067,246 5,033,623 15,100,870 7,550,435 22,651,306 11,325,653 33,976,960 16,988,480 8,494,240 4,247,120 2,123,560 1,061,780 530,890 265,445 796,336 398,168 199,084 99,542 49,771 149,314 74,657 223,972 111,986 55,993 167,980 83,990 41,995 125,986 62,993 188,980 94,490 47,245 141,736 70,868 35,434 17,717 53,152 26,576 13,288 6,644 3,322 1,661

More profiles

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