λ
Ratio Atlas

9,090,223

17 × 31 × 47 × 367
Deficient Odd Composite

9,090,223 factors as 17 × 31 × 47 × 367. Its 16 positive divisors give a proper-divisor sum of 1,084,241, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 17 × 31 × 47 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,174,464
Proper Divisor Sum 1,084,241
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9090217 ← → #9090229

Radix Representation

Decimal 9090223
Binary 100010101011010010101111 (24 bits)
Octal 0o42532257
Hexadecimal 0x8AB4AF

Divisor Catalog (16)

1 17 31 47 367 527 799 1,457 6,239 11,377 17,249 24,769 193,409 293,233 534,719 9,090,223

Collatz Trajectory (132 steps to reach 1)

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

9,090,223 27,270,670 13,635,335 40,906,006 20,453,003 61,359,010 30,679,505 92,038,516 46,019,258 23,009,629 69,028,888 34,514,444 17,257,222 8,628,611 25,885,834 12,942,917 38,828,752 19,414,376 9,707,188 4,853,594 2,426,797 7,280,392 3,640,196 1,820,098 910,049 2,730,148 1,365,074 682,537 2,047,612 1,023,806 511,903 1,535,710 767,855 2,303,566 1,151,783 3,455,350 1,727,675 5,183,026 2,591,513 7,774,540 3,887,270 1,943,635 5,830,906 2,915,453 8,746,360 4,373,180 2,186,590 1,093,295 3,279,886 1,639,943 4,919,830 2,459,915 7,379,746 3,689,873 11,069,620 5,534,810 2,767,405 8,302,216 4,151,108 2,075,554

More profiles

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