λ
Harmonic Matrix

646,770

2 × 3 × 5 × 21559
Abundant Even Composite

646,770 has digital root 3. The neighboring primes are 646757 and 646771; its proper-divisor sum differs from the starting integer by 258,780.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 21559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,552,320
Proper Divisor Sum 905,550
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #646757 ← → #646771

Radix Representation

Decimal 646770
Binary 10011101111001110010 (20 bits)
Octal 0o2357162
Hexadecimal 0x9DE72

Divisor Catalog (16)

1 2 3 5 6 10 15 30 21,559 43,118 64,677 107,795 129,354 215,590 323,385 646,770

Collatz Trajectory (141 steps to reach 1)

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

646,770 323,385 970,156 485,078 242,539 727,618 363,809 1,091,428 545,714 272,857 818,572 409,286 204,643 613,930 306,965 920,896 460,448 230,224 115,112 57,556 28,778 14,389 43,168 21,584 10,792 5,396 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700

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