λ
Harmonic Matrix

4,327,235

5 × 11 × 29 × 2713
Deficient Odd Composite

4,327,235 has digital root 8. The neighboring primes are 4327229 and 4327241; its proper-divisor sum differs from the starting integer by -2,792,230.

Prime Factor Structure

Factorization String 5 × 11 × 29 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,862,240
Proper Divisor Sum 1,535,005
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4327229 ← → #4327241

Radix Representation

Decimal 4327235
Binary 10000100000011101000011 (23 bits)
Octal 0o20403503
Hexadecimal 0x420743

Divisor Catalog (16)

1 5 11 29 55 145 319 1,595 2,713 13,565 29,843 78,677 149,215 393,385 865,447 4,327,235

Collatz Trajectory (255 steps to reach 1)

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

4,327,235 12,981,706 6,490,853 19,472,560 9,736,280 4,868,140 2,434,070 1,217,035 3,651,106 1,825,553 5,476,660 2,738,330 1,369,165 4,107,496 2,053,748 1,026,874 513,437 1,540,312 770,156 385,078 192,539 577,618 288,809 866,428 433,214 216,607 649,822 324,911 974,734 487,367 1,462,102 731,051 2,193,154 1,096,577 3,289,732 1,644,866 822,433 2,467,300 1,233,650 616,825 1,850,476 925,238 462,619 1,387,858 693,929 2,081,788 1,040,894 520,447 1,561,342 780,671 2,342,014 1,171,007 3,513,022 1,756,511 5,269,534 2,634,767 7,904,302 3,952,151 11,856,454 5,928,227

More profiles

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