λ
Integer Codex

3,128,862

2 × 3 × 11 × 47407
Abundant Even Composite

For 3,128,862, the 16 positive divisors have a total of 6,826,752. Removing 3,128,862 leaves 3,697,890, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 47407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,826,752
Proper Divisor Sum 3,697,890
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3128849 ← → #3128869

Radix Representation

Decimal 3128862
Binary 1011111011111000011110 (22 bits)
Octal 0o13737036
Hexadecimal 0x2FBE1E

Divisor Catalog (16)

1 2 3 6 11 22 33 66 47,407 94,814 142,221 284,442 521,477 1,042,954 1,564,431 3,128,862

Collatz Trajectory (102 steps to reach 1)

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

3,128,862 1,564,431 4,693,294 2,346,647 7,039,942 3,519,971 10,559,914 5,279,957 15,839,872 7,919,936 3,959,968 1,979,984 989,992 494,996 247,498 123,749 371,248 185,624 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310

More profiles

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