λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,200,367

9,200,367

32 × 11 × 199 × 467
Deficient Odd Composite

9,200,367 factors as 3^2 × 11 × 199 × 467. Its 24 positive divisors give a proper-divisor sum of 5,401,233, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 199 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,601,600
Proper Divisor Sum 5,401,233
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9200341 ← → #9200369

Radix Representation

Decimal 9200367
Binary 100011000110001011101111 (24 bits)
Octal 0o43061357
Hexadecimal 0x8C62EF

Divisor Catalog (24)

1 3 9 11 33 99 199 467 597 1,401 1,791 2,189 4,203 5,137 6,567 15,411 19,701 46,233 92,933 278,799 836,397 1,022,263 3,066,789 9,200,367

Collatz Trajectory (150 steps to reach 1)

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

9,200,367 27,601,102 13,800,551 41,401,654 20,700,827 62,102,482 31,051,241 93,153,724 46,576,862 23,288,431 69,865,294 34,932,647 104,797,942 52,398,971 157,196,914 78,598,457 235,795,372 117,897,686 58,948,843 176,846,530 88,423,265 265,269,796 132,634,898 66,317,449 198,952,348 99,476,174 49,738,087 149,214,262 74,607,131 223,821,394 111,910,697 335,732,092 167,866,046 83,933,023 251,799,070 125,899,535 377,698,606 188,849,303 566,547,910 283,273,955 849,821,866 424,910,933 1,274,732,800 637,366,400 318,683,200 159,341,600 79,670,800 39,835,400 19,917,700 9,958,850 4,979,425 14,938,276 7,469,138 3,734,569 11,203,708 5,601,854 2,800,927 8,402,782 4,201,391 12,604,174

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,200,366 Browse Full Index Next Integer #9,200,368 →