λ
Ratio Atlas

91,120,103

91120103
Deficient Odd Prime

91,120,103 factors as 91120103. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 91120103
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 91,120,104
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #91120049 ← → #91120109

Radix Representation

Decimal 91120103
Binary 101011011100110000111100111 (27 bits)
Octal 0o533460747
Hexadecimal 0x56E61E7

Divisor Catalog (2)

Collatz Trajectory (218 steps to reach 1)

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

91,120,103 273,360,310 136,680,155 410,040,466 205,020,233 615,060,700 307,530,350 153,765,175 461,295,526 230,647,763 691,943,290 345,971,645 1,037,914,936 518,957,468 259,478,734 129,739,367 389,218,102 194,609,051 583,827,154 291,913,577 875,740,732 437,870,366 218,935,183 656,805,550 328,402,775 985,208,326 492,604,163 1,477,812,490 738,906,245 2,216,718,736 1,108,359,368 554,179,684 277,089,842 138,544,921 415,634,764 207,817,382 103,908,691 311,726,074 155,863,037 467,589,112 233,794,556 116,897,278 58,448,639 175,345,918 87,672,959 263,018,878 131,509,439 394,528,318 197,264,159 591,792,478 295,896,239 887,688,718 443,844,359 1,331,533,078 665,766,539 1,997,299,618 998,649,809 2,995,949,428 1,497,974,714 748,987,357

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