λ
Harmonic Matrix

4,673,242

2 × 7 × 333803
Deficient Even Composite

4,673,242 has digital root 1. The neighboring primes are 4673237 and 4673261; its proper-divisor sum differs from the starting integer by -1,335,188.

Prime Factor Structure

Factorization String 2 × 7 × 333803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,011,296
Proper Divisor Sum 3,338,054
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4673237 ← → #4673261

Radix Representation

Decimal 4673242
Binary 10001110100111011011010 (23 bits)
Octal 0o21647332
Hexadecimal 0x474EDA

Divisor Catalog (8)

1 2 7 14 333,803 667,606 2,336,621 4,673,242

Collatz Trajectory (224 steps to reach 1)

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

4,673,242 2,336,621 7,009,864 3,504,932 1,752,466 876,233 2,628,700 1,314,350 657,175 1,971,526 985,763 2,957,290 1,478,645 4,435,936 2,217,968 1,108,984 554,492 277,246 138,623 415,870 207,935 623,806 311,903 935,710 467,855 1,403,566 701,783 2,105,350 1,052,675 3,158,026 1,579,013 4,737,040 2,368,520 1,184,260 592,130 296,065 888,196 444,098 222,049 666,148 333,074 166,537 499,612 249,806 124,903 374,710 187,355 562,066 281,033 843,100 421,550 210,775 632,326 316,163 948,490 474,245 1,422,736 711,368 355,684 177,842

More profiles

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