λ
Ratio Atlas

7,301,741

23 × 167 × 1901
Deficient Odd Composite

7,301,741 factors as 23 × 167 × 1901. Its 8 positive divisors give a proper-divisor sum of 367,123, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 23 × 167 × 1901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,668,864
Proper Divisor Sum 367,123
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7301737 ← → #7301743

Radix Representation

Decimal 7301741
Binary 11011110110101001101101 (23 bits)
Octal 0o33665155
Hexadecimal 0x6F6A6D

Divisor Catalog (8)

1 23 167 1,901 3,841 43,723 317,467 7,301,741

Collatz Trajectory (173 steps to reach 1)

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

7,301,741 21,905,224 10,952,612 5,476,306 2,738,153 8,214,460 4,107,230 2,053,615 6,160,846 3,080,423 9,241,270 4,620,635 13,861,906 6,930,953 20,792,860 10,396,430 5,198,215 15,594,646 7,797,323 23,391,970 11,695,985 35,087,956 17,543,978 8,771,989 26,315,968 13,157,984 6,578,992 3,289,496 1,644,748 822,374 411,187 1,233,562 616,781 1,850,344 925,172 462,586 231,293 693,880 346,940 173,470 86,735 260,206 130,103 390,310 195,155 585,466 292,733 878,200 439,100 219,550 109,775 329,326 164,663 493,990 246,995 740,986 370,493 1,111,480 555,740 277,870

More profiles

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