λ
Harmonic Matrix

4,973,628

22 × 3 × 11 × 41 × 919
Abundant Even Composite

4,973,628 has digital root 3. The neighboring primes are 4973627 and 4973653; its proper-divisor sum differs from the starting integer by 3,035,784.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 41 × 919
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,983,040
Proper Divisor Sum 8,009,412
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4973627 ← → #4973653

Radix Representation

Decimal 4973628
Binary 10010111110010000111100 (23 bits)
Octal 0o22762074
Hexadecimal 0x4BE43C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 919 1,353 1,804 1,838 2,706 2,757 3,676 5,412 5,514 10,109 11,028 20,218 30,327 37,679 40,436 60,654 75,358 113,037 121,308 150,716 226,074 414,469 452,148 828,938 1,243,407 1,657,876 2,486,814 4,973,628

Collatz Trajectory (237 steps to reach 1)

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

4,973,628 2,486,814 1,243,407 3,730,222 1,865,111 5,595,334 2,797,667 8,393,002 4,196,501 12,589,504 6,294,752 3,147,376 1,573,688 786,844 393,422 196,711 590,134 295,067 885,202 442,601 1,327,804 663,902 331,951 995,854 497,927 1,493,782 746,891 2,240,674 1,120,337 3,361,012 1,680,506 840,253 2,520,760 1,260,380 630,190 315,095 945,286 472,643 1,417,930 708,965 2,126,896 1,063,448 531,724 265,862 132,931 398,794 199,397 598,192 299,096 149,548 74,774 37,387 112,162 56,081 168,244 84,122 42,061 126,184 63,092 31,546

More profiles

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