λ
Match Zalai

3,146,175

33 × 52 × 59 × 79
Deficient Odd Composite

3,146,175 factors as 3^3 × 5^2 × 59 × 79. Its 48 positive divisors give a proper-divisor sum of 2,805,825, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 59 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,952,000
Proper Divisor Sum 2,805,825
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3146161 ← → #3146183

Radix Representation

Decimal 3146175
Binary 1100000000000110111111 (22 bits)
Octal 0o14000677
Hexadecimal 0x3001BF

Divisor Catalog (48)

1 3 5 9 15 25 27 45 59 75 79 135 177 225 237 295 395 531 675 711 885 1,185 1,475 1,593 1,975 2,133 2,655 3,555 4,425 4,661 5,925 7,965 10,665 13,275 13,983 17,775 23,305 39,825 41,949 53,325 69,915 116,525 125,847 209,745 349,575 629,235 1,048,725 3,146,175

Collatz Trajectory (133 steps to reach 1)

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

3,146,175 9,438,526 4,719,263 14,157,790 7,078,895 21,236,686 10,618,343 31,855,030 15,927,515 47,782,546 23,891,273 71,673,820 35,836,910 17,918,455 53,755,366 26,877,683 80,633,050 40,316,525 120,949,576 60,474,788 30,237,394 15,118,697 45,356,092 22,678,046 11,339,023 34,017,070 17,008,535 51,025,606 25,512,803 76,538,410 38,269,205 114,807,616 57,403,808 28,701,904 14,350,952 7,175,476 3,587,738 1,793,869 5,381,608 2,690,804 1,345,402 672,701 2,018,104 1,009,052 504,526 252,263 756,790 378,395 1,135,186 567,593 1,702,780 851,390 425,695 1,277,086 638,543 1,915,630 957,815 2,873,446 1,436,723 4,310,170

More profiles

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