λ
Ratio Atlas

20,161,567

20161567
Deficient Odd Prime

20,161,567 factors as 20161567. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 20161567
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 20,161,568
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #20161553 ← → #20161577

Radix Representation

Decimal 20161567
Binary 1001100111010010000011111 (25 bits)
Octal 0o114722037
Hexadecimal 0x133A41F

Divisor Catalog (2)

Collatz Trajectory (159 steps to reach 1)

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

20,161,567 60,484,702 30,242,351 90,727,054 45,363,527 136,090,582 68,045,291 204,135,874 102,067,937 306,203,812 153,101,906 76,550,953 229,652,860 114,826,430 57,413,215 172,239,646 86,119,823 258,359,470 129,179,735 387,539,206 193,769,603 581,308,810 290,654,405 871,963,216 435,981,608 217,990,804 108,995,402 54,497,701 163,493,104 81,746,552 40,873,276 20,436,638 10,218,319 30,654,958 15,327,479 45,982,438 22,991,219 68,973,658 34,486,829 103,460,488 51,730,244 25,865,122 12,932,561 38,797,684 19,398,842 9,699,421 29,098,264 14,549,132 7,274,566 3,637,283 10,911,850 5,455,925 16,367,776 8,183,888 4,091,944 2,045,972 1,022,986 511,493 1,534,480 767,240

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