λ
Harmonic Matrix

9,509,243

67 × 71 × 1999
Deficient Odd Composite

9,509,243 has digital root 5. The neighboring primes are 9509233 and 9509249; its proper-divisor sum differs from the starting integer by -9,226,486.

Prime Factor Structure

Factorization String 67 × 71 × 1999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,792,000
Proper Divisor Sum 282,757
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9509233 ← → #9509249

Radix Representation

Decimal 9509243
Binary 100100010001100101111011 (24 bits)
Octal 0o44214573
Hexadecimal 0x91197B

Divisor Catalog (8)

1 67 71 1,999 4,757 133,933 141,929 9,509,243

Collatz Trajectory (163 steps to reach 1)

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

9,509,243 28,527,730 14,263,865 42,791,596 21,395,798 10,697,899 32,093,698 16,046,849 48,140,548 24,070,274 12,035,137 36,105,412 18,052,706 9,026,353 27,079,060 13,539,530 6,769,765 20,309,296 10,154,648 5,077,324 2,538,662 1,269,331 3,807,994 1,903,997 5,711,992 2,855,996 1,427,998 713,999 2,141,998 1,070,999 3,212,998 1,606,499 4,819,498 2,409,749 7,229,248 3,614,624 1,807,312 903,656 451,828 225,914 112,957 338,872 169,436 84,718 42,359 127,078 63,539 190,618 95,309 285,928 142,964 71,482 35,741 107,224 53,612 26,806 13,403 40,210 20,105 60,316

More profiles

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