λ
Harmonic Matrix

9,323,167

7 × 19 × 70099
Deficient Odd Composite

9,323,167 has digital root 4. The neighboring primes are 9323161 and 9323173; its proper-divisor sum differs from the starting integer by -7,430,334.

Prime Factor Structure

Factorization String 7 × 19 × 70099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,216,000
Proper Divisor Sum 1,892,833
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9323161 ← → #9323173

Radix Representation

Decimal 9323167
Binary 100011100100001010011111 (24 bits)
Octal 0o43441237
Hexadecimal 0x8E429F

Divisor Catalog (8)

1 7 19 133 70,099 490,693 1,331,881 9,323,167

Collatz Trajectory (256 steps to reach 1)

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

9,323,167 27,969,502 13,984,751 41,954,254 20,977,127 62,931,382 31,465,691 94,397,074 47,198,537 141,595,612 70,797,806 35,398,903 106,196,710 53,098,355 159,295,066 79,647,533 238,942,600 119,471,300 59,735,650 29,867,825 89,603,476 44,801,738 22,400,869 67,202,608 33,601,304 16,800,652 8,400,326 4,200,163 12,600,490 6,300,245 18,900,736 9,450,368 4,725,184 2,362,592 1,181,296 590,648 295,324 147,662 73,831 221,494 110,747 332,242 166,121 498,364 249,182 124,591 373,774 186,887 560,662 280,331 840,994 420,497 1,261,492 630,746 315,373 946,120 473,060 236,530 118,265 354,796

More profiles

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