λ
Harmonic Matrix

4,355,244

22 × 32 × 311 × 389
Abundant Even Composite

4,355,244 has digital root 9. The neighboring primes are 4355243 and 4355269; its proper-divisor sum differs from the starting integer by 2,362,392.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 311 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,072,880
Proper Divisor Sum 6,717,636
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4355243 ← → #4355269

Radix Representation

Decimal 4355244
Binary 10000100111010010101100 (23 bits)
Octal 0o20472254
Hexadecimal 0x4274AC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 311 389 622 778 933 1,167 1,244 1,556 1,866 2,334 2,799 3,501 3,732 4,668 5,598 7,002 11,196 14,004 120,979 241,958 362,937 483,916 725,874 1,088,811 1,451,748 2,177,622 4,355,244

Collatz Trajectory (211 steps to reach 1)

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

4,355,244 2,177,622 1,088,811 3,266,434 1,633,217 4,899,652 2,449,826 1,224,913 3,674,740 1,837,370 918,685 2,756,056 1,378,028 689,014 344,507 1,033,522 516,761 1,550,284 775,142 387,571 1,162,714 581,357 1,744,072 872,036 436,018 218,009 654,028 327,014 163,507 490,522 245,261 735,784 367,892 183,946 91,973 275,920 137,960 68,980 34,490 17,245 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607

More profiles

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