λ
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1,343,370

2 × 3 × 5 × 7 × 6397
Abundant Even Composite

1,343,370 factors as 2 × 3 × 5 × 7 × 6397. Its 32 positive divisors give a proper-divisor sum of 2,341,878, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 6397
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,685,248
Proper Divisor Sum 2,341,878
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1343369 ← → #1343383

Radix Representation

Decimal 1343370
Binary 101000111111110001010 (21 bits)
Octal 0o5077612
Hexadecimal 0x147F8A

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 6,397 12,794 19,191 31,985 38,382 44,779 63,970 89,558 95,955 134,337 191,910 223,895 268,674 447,790 671,685 1,343,370

Collatz Trajectory (93 steps to reach 1)

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

1,343,370 671,685 2,015,056 1,007,528 503,764 251,882 125,941 377,824 188,912 94,456 47,228 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

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