λ
Sigma Notebook

3,727,870

2 × 5 × 113 × 3299
Deficient Even Composite

3,727,870 is even and not a perfect square. Its factorization is 2 × 5 × 113 × 3299 and its 16 divisors sum to 6,771,600.

Prime Factor Structure

Factorization String 2 × 5 × 113 × 3299
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,771,600
Proper Divisor Sum 3,043,730
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3727859 ← → #3727873

Radix Representation

Decimal 3727870
Binary 1110001110000111111110 (22 bits)
Octal 0o16160776
Hexadecimal 0x38E1FE

Divisor Catalog (16)

1 2 5 10 113 226 565 1,130 3,299 6,598 16,495 32,990 372,787 745,574 1,863,935 3,727,870

Collatz Trajectory (203 steps to reach 1)

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

3,727,870 1,863,935 5,591,806 2,795,903 8,387,710 4,193,855 12,581,566 6,290,783 18,872,350 9,436,175 28,308,526 14,154,263 42,462,790 21,231,395 63,694,186 31,847,093 95,541,280 47,770,640 23,885,320 11,942,660 5,971,330 2,985,665 8,956,996 4,478,498 2,239,249 6,717,748 3,358,874 1,679,437 5,038,312 2,519,156 1,259,578 629,789 1,889,368 944,684 472,342 236,171 708,514 354,257 1,062,772 531,386 265,693 797,080 398,540 199,270 99,635 298,906 149,453 448,360 224,180 112,090 56,045 168,136 84,068 42,034 21,017 63,052 31,526 15,763 47,290 23,645

More profiles

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