λ
Sigma Notebook

1,328,810

2 × 5 × 7 × 41 × 463
Abundant Even Composite

1,328,810 is even and not a perfect square. Its factorization is 2 × 5 × 7 × 41 × 463 and its 32 divisors sum to 2,806,272.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 41 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,806,272
Proper Divisor Sum 1,477,462
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1328807 ← → #1328827

Radix Representation

Decimal 1328810
Binary 101000100011010101010 (21 bits)
Octal 0o5043252
Hexadecimal 0x1446AA

Divisor Catalog (32)

1 2 5 7 10 14 35 41 70 82 205 287 410 463 574 926 1,435 2,315 2,870 3,241 4,630 6,482 16,205 18,983 32,410 37,966 94,915 132,881 189,830 265,762 664,405 1,328,810

Collatz Trajectory (111 steps to reach 1)

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

1,328,810 664,405 1,993,216 996,608 498,304 249,152 124,576 62,288 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

More profiles

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