λ
Prime Ledger

3,471,891

3 × 811 × 1427
Deficient Odd Composite

3,471,891 has the prime decomposition 3 × 811 × 1427. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 811 × 1427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,638,144
Proper Divisor Sum 1,166,253
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3471883 ← → #3471899

Radix Representation

Decimal 3471891
Binary 1101001111101000010011 (22 bits)
Octal 0o15175023
Hexadecimal 0x34FA13

Divisor Catalog (8)

1 3 811 1,427 2,433 4,281 1,157,297 3,471,891

Collatz Trajectory (252 steps to reach 1)

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

3,471,891 10,415,674 5,207,837 15,623,512 7,811,756 3,905,878 1,952,939 5,858,818 2,929,409 8,788,228 4,394,114 2,197,057 6,591,172 3,295,586 1,647,793 4,943,380 2,471,690 1,235,845 3,707,536 1,853,768 926,884 463,442 231,721 695,164 347,582 173,791 521,374 260,687 782,062 391,031 1,173,094 586,547 1,759,642 879,821 2,639,464 1,319,732 659,866 329,933 989,800 494,900 247,450 123,725 371,176 185,588 92,794 46,397 139,192 69,596 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022

More profiles

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