λ
Harmonic Matrix

4,900,042

2 × 7 × 350003
Deficient Even Composite

4,900,042 has digital root 1. The neighboring primes are 4900037 and 4900057; its proper-divisor sum differs from the starting integer by -1,399,988.

Prime Factor Structure

Factorization String 2 × 7 × 350003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,400,096
Proper Divisor Sum 3,500,054
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4900037 ← → #4900057

Radix Representation

Decimal 4900042
Binary 10010101100010011001010 (23 bits)
Octal 0o22542312
Hexadecimal 0x4AC4CA

Divisor Catalog (8)

1 2 7 14 350,003 700,006 2,450,021 4,900,042

Collatz Trajectory (100 steps to reach 1)

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

4,900,042 2,450,021 7,350,064 3,675,032 1,837,516 918,758 459,379 1,378,138 689,069 2,067,208 1,033,604 516,802 258,401 775,204 387,602 193,801 581,404 290,702 145,351 436,054 218,027 654,082 327,041 981,124 490,562 245,281 735,844 367,922 183,961 551,884 275,942 137,971 413,914 206,957 620,872 310,436 155,218 77,609 232,828 116,414 58,207 174,622 87,311 261,934 130,967 392,902 196,451 589,354 294,677 884,032 442,016 221,008 110,504 55,252 27,626 13,813 41,440 20,720 10,360 5,180

More profiles

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