λ
Harmonic Matrix

9,429,349

9429349
Deficient Odd Prime

9,429,349 has digital root 4. The neighboring primes are 9429347 and 9429367; its proper-divisor sum differs from the starting integer by -9,429,348.

Prime Factor Structure

Factorization String 9429349
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,429,350
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9429347 ← → #9429367

Radix Representation

Decimal 9429349
Binary 100011111110000101100101 (24 bits)
Octal 0o43760545
Hexadecimal 0x8FE165

Divisor Catalog (2)

Collatz Trajectory (75 steps to reach 1)

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

9,429,349 28,288,048 14,144,024 7,072,012 3,536,006 1,768,003 5,304,010 2,652,005 7,956,016 3,978,008 1,989,004 994,502 497,251 1,491,754 745,877 2,237,632 1,118,816 559,408 279,704 139,852 69,926 34,963 104,890 52,445 157,336 78,668 39,334 19,667 59,002 29,501 88,504 44,252 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277

More profiles

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