λ
Harmonic Matrix

9,352,773

33 × 346399
Deficient Odd Composite

9,352,773 has digital root 9. The neighboring primes are 9352747 and 9352781; its proper-divisor sum differs from the starting integer by -4,849,546.

Prime Factor Structure

Factorization String 3^3 × 346399
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,856,000
Proper Divisor Sum 4,503,227
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9352747 ← → #9352781

Radix Representation

Decimal 9352773
Binary 100011101011011001000101 (24 bits)
Octal 0o43533105
Hexadecimal 0x8EB645

Divisor Catalog (8)

1 3 9 27 346,399 1,039,197 3,117,591 9,352,773

Collatz Trajectory (75 steps to reach 1)

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

9,352,773 28,058,320 14,029,160 7,014,580 3,507,290 1,753,645 5,260,936 2,630,468 1,315,234 657,617 1,972,852 986,426 493,213 1,479,640 739,820 369,910 184,955 554,866 277,433 832,300 416,150 208,075 624,226 312,113 936,340 468,170 234,085 702,256 351,128 175,564 87,782 43,891 131,674 65,837 197,512 98,756 49,378 24,689 74,068 37,034 18,517 55,552 27,776 13,888 6,944 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46

More profiles

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