λ
Ratio Atlas

3,378,947

11 × 13 × 23629
Deficient Odd Composite

3,378,947 factors as 11 × 13 × 23629. Its 8 positive divisors give a proper-divisor sum of 590,893, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 11 × 13 × 23629
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,969,840
Proper Divisor Sum 590,893
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3378931 ← → #3378967

Radix Representation

Decimal 3378947
Binary 1100111000111100000011 (22 bits)
Octal 0o14707403
Hexadecimal 0x338F03

Divisor Catalog (8)

1 11 13 143 23,629 259,919 307,177 3,378,947

Collatz Trajectory (252 steps to reach 1)

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

3,378,947 10,136,842 5,068,421 15,205,264 7,602,632 3,801,316 1,900,658 950,329 2,850,988 1,425,494 712,747 2,138,242 1,069,121 3,207,364 1,603,682 801,841 2,405,524 1,202,762 601,381 1,804,144 902,072 451,036 225,518 112,759 338,278 169,139 507,418 253,709 761,128 380,564 190,282 95,141 285,424 142,712 71,356 35,678 17,839 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436

More profiles

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