λ
Sigma Notebook

3,210,711

3 × 7 × 47 × 3253
Deficient Odd Composite

3,210,711 is odd and not a perfect square. Its factorization is 3 × 7 × 47 × 3253 and its 16 divisors sum to 4,998,144.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,998,144
Proper Divisor Sum 1,787,433
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3210709 ← → #3210719

Radix Representation

Decimal 3210711
Binary 1100001111110111010111 (22 bits)
Octal 0o14176727
Hexadecimal 0x30FDD7

Divisor Catalog (16)

1 3 7 21 47 141 329 987 3,253 9,759 22,771 68,313 152,891 458,673 1,070,237 3,210,711

Collatz Trajectory (146 steps to reach 1)

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

3,210,711 9,632,134 4,816,067 14,448,202 7,224,101 21,672,304 10,836,152 5,418,076 2,709,038 1,354,519 4,063,558 2,031,779 6,095,338 3,047,669 9,143,008 4,571,504 2,285,752 1,142,876 571,438 285,719 857,158 428,579 1,285,738 642,869 1,928,608 964,304 482,152 241,076 120,538 60,269 180,808 90,404 45,202 22,601 67,804 33,902 16,951 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200

More profiles

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