λ
Harmonic Matrix

474,465

3 × 5 × 47 × 673
Deficient Odd Composite

474,465 has digital root 3. The neighboring primes are 474443 and 474479; its proper-divisor sum differs from the starting integer by -172,482.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 776,448
Proper Divisor Sum 301,983
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #474443 ← → #474479

Radix Representation

Decimal 474465
Binary 1110011110101100001 (19 bits)
Octal 0o1636541
Hexadecimal 0x73D61

Divisor Catalog (16)

1 3 5 15 47 141 235 673 705 2,019 3,365 10,095 31,631 94,893 158,155 474,465

Collatz Trajectory (169 steps to reach 1)

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

474,465 1,423,396 711,698 355,849 1,067,548 533,774 266,887 800,662 400,331 1,200,994 600,497 1,801,492 900,746 450,373 1,351,120 675,560 337,780 168,890 84,445 253,336 126,668 63,334 31,667 95,002 47,501 142,504 71,252 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506

More profiles

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