λ
Harmonic Matrix

9,735,241

9735241
Deficient Odd Prime

9,735,241 has digital root 4. The neighboring primes are 9735227 and 9735247; its proper-divisor sum differs from the starting integer by -9,735,240.

Prime Factor Structure

Factorization String 9735241
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,735,242
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9735227 ← → #9735247

Radix Representation

Decimal 9735241
Binary 100101001000110001001001 (24 bits)
Octal 0o45106111
Hexadecimal 0x948C49

Divisor Catalog (2)

Collatz Trajectory (176 steps to reach 1)

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

9,735,241 29,205,724 14,602,862 7,301,431 21,904,294 10,952,147 32,856,442 16,428,221 49,284,664 24,642,332 12,321,166 6,160,583 18,481,750 9,240,875 27,722,626 13,861,313 41,583,940 20,791,970 10,395,985 31,187,956 15,593,978 7,796,989 23,390,968 11,695,484 5,847,742 2,923,871 8,771,614 4,385,807 13,157,422 6,578,711 19,736,134 9,868,067 29,604,202 14,802,101 44,406,304 22,203,152 11,101,576 5,550,788 2,775,394 1,387,697 4,163,092 2,081,546 1,040,773 3,122,320 1,561,160 780,580 390,290 195,145 585,436 292,718 146,359 439,078 219,539 658,618 329,309 987,928 493,964 246,982 123,491 370,474

More profiles

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