λ
Zalai Atlas

3,214,085

5 × 7 × 131 × 701
Deficient Odd Composite

3,214,085 has the prime decomposition 5 × 7 × 131 × 701. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 131 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,447,872
Proper Divisor Sum 1,233,787
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3214073 ← → #3214087

Radix Representation

Decimal 3214085
Binary 1100010000101100000101 (22 bits)
Octal 0o14205405
Hexadecimal 0x310B05

Divisor Catalog (16)

1 5 7 35 131 655 701 917 3,505 4,585 4,907 24,535 91,831 459,155 642,817 3,214,085

Collatz Trajectory (146 steps to reach 1)

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

3,214,085 9,642,256 4,821,128 2,410,564 1,205,282 602,641 1,807,924 903,962 451,981 1,355,944 677,972 338,986 169,493 508,480 254,240 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410

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