λ
Harmonic Matrix

7,724,245

5 × 1544849
Deficient Odd Composite

7,724,245 has digital root 4. The neighboring primes are 7724201 and 7724257; its proper-divisor sum differs from the starting integer by -6,179,390.

Prime Factor Structure

Factorization String 5 × 1544849
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,269,100
Proper Divisor Sum 1,544,855
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7724201 ← → #7724257

Radix Representation

Decimal 7724245
Binary 11101011101110011010101 (23 bits)
Octal 0o35356325
Hexadecimal 0x75DCD5

Divisor Catalog (4)

1 5 1,544,849 7,724,245

Collatz Trajectory (124 steps to reach 1)

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

7,724,245 23,172,736 11,586,368 5,793,184 2,896,592 1,448,296 724,148 362,074 181,037 543,112 271,556 135,778 67,889 203,668 101,834 50,917 152,752 76,376 38,188 19,094 9,547 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

More profiles

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