λ
Harmonic Matrix

4,246,275

3 × 52 × 11 × 5147
Deficient Odd Composite

4,246,275 has digital root 3. The neighboring primes are 4246273 and 4246301; its proper-divisor sum differs from the starting integer by -832,326.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 5147
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,660,224
Proper Divisor Sum 3,413,949
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4246273 ← → #4246301

Radix Representation

Decimal 4246275
Binary 10000001100101100000011 (23 bits)
Octal 0o20145403
Hexadecimal 0x40CB03

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 825 5,147 15,441 25,735 56,617 77,205 128,675 169,851 283,085 386,025 849,255 1,415,425 4,246,275

Collatz Trajectory (105 steps to reach 1)

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

4,246,275 12,738,826 6,369,413 19,108,240 9,554,120 4,777,060 2,388,530 1,194,265 3,582,796 1,791,398 895,699 2,687,098 1,343,549 4,030,648 2,015,324 1,007,662 503,831 1,511,494 755,747 2,267,242 1,133,621 3,400,864 1,700,432 850,216 425,108 212,554 106,277 318,832 159,416 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944

More profiles

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