λ
Harmonic Matrix

4,275,804

22 × 3 × 13 × 27409
Abundant Even Composite

4,275,804 has digital root 3. The neighboring primes are 4275797 and 4275809; its proper-divisor sum differs from the starting integer by 2,193,112.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 27409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,744,720
Proper Divisor Sum 6,468,916
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4275797 ← → #4275809

Radix Representation

Decimal 4275804
Binary 10000010011111001011100 (23 bits)
Octal 0o20237134
Hexadecimal 0x413E5C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 27,409 54,818 82,227 109,636 164,454 328,908 356,317 712,634 1,068,951 1,425,268 2,137,902 4,275,804

Collatz Trajectory (74 steps to reach 1)

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

4,275,804 2,137,902 1,068,951 3,206,854 1,603,427 4,810,282 2,405,141 7,215,424 3,607,712 1,803,856 901,928 450,964 225,482 112,741 338,224 169,112 84,556 42,278 21,139 63,418 31,709 95,128 47,564 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

More profiles

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