λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,161,791

20,161,791

34 × 13 × 41 × 467
Deficient Odd Composite

20,161,791 factors as 3^4 × 13 × 41 × 467. Its 40 positive divisors give a proper-divisor sum of 13,135,473, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3^4 × 13 × 41 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 33,297,264
Proper Divisor Sum 13,135,473
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20161789 ← → #20161807

Radix Representation

Decimal 20161791
Binary 1001100111010010011111111 (25 bits)
Octal 0o114722377
Hexadecimal 0x133A4FF

Divisor Catalog (40)

1 3 9 13 27 39 41 81 117 123 351 369 467 533 1,053 1,107 1,401 1,599 3,321 4,203 4,797 6,071 12,609 14,391 18,213 19,147 37,827 43,173 54,639 57,441 163,917 172,323 248,911 491,751 516,969 746,733 1,550,907 2,240,199 6,720,597 20,161,791

Collatz Trajectory (159 steps to reach 1)

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

20,161,791 60,485,374 30,242,687 90,728,062 45,364,031 136,092,094 68,046,047 204,138,142 102,069,071 306,207,214 153,103,607 459,310,822 229,655,411 688,966,234 344,483,117 1,033,449,352 516,724,676 258,362,338 129,181,169 387,543,508 193,771,754 96,885,877 290,657,632 145,328,816 72,664,408 36,332,204 18,166,102 9,083,051 27,249,154 13,624,577 40,873,732 20,436,866 10,218,433 30,655,300 15,327,650 7,663,825 22,991,476 11,495,738 5,747,869 17,243,608 8,621,804 4,310,902 2,155,451 6,466,354 3,233,177 9,699,532 4,849,766 2,424,883 7,274,650 3,637,325 10,911,976 5,455,988 2,727,994 1,363,997 4,091,992 2,045,996 1,022,998 511,499 1,534,498 767,249

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,161,790 Browse Full Index Next Integer #20,161,792 →