λ
Harmonic Matrix

424,066

2 × 43 × 4931
Deficient Even Composite

424,066 has digital root 4. The neighboring primes are 424037 and 424079; its proper-divisor sum differs from the starting integer by -197,108.

Prime Factor Structure

Factorization String 2 × 43 × 4931
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 651,024
Proper Divisor Sum 226,958
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #424037 ← → #424079

Radix Representation

Decimal 424066
Binary 1100111100010000010 (19 bits)
Octal 0o1474202
Hexadecimal 0x67882

Divisor Catalog (8)

1 2 43 86 4,931 9,862 212,033 424,066

Collatz Trajectory (174 steps to reach 1)

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

424,066 212,033 636,100 318,050 159,025 477,076 238,538 119,269 357,808 178,904 89,452 44,726 22,363 67,090 33,545 100,636 50,318 25,159 75,478 37,739 113,218 56,609 169,828 84,914 42,457 127,372 63,686 31,843 95,530 47,765 143,296 71,648 35,824 17,912 8,956 4,478 2,239 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449

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