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Atlas › Integer Profiles › Node 9,040,977

9,040,977

34 × 11 × 73 × 139
Deficient Odd Composite

9,040,977 factors as 3^4 × 11 × 73 × 139. Its 40 positive divisors give a proper-divisor sum of 6,001,743, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 3^4 × 11 × 73 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,042,720
Proper Divisor Sum 6,001,743
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9040963 ← → #9041023

Radix Representation

Decimal 9040977
Binary 100010011111010001010001 (24 bits)
Octal 0o42372121
Hexadecimal 0x89F451

Divisor Catalog (40)

1 3 9 11 27 33 73 81 99 139 219 297 417 657 803 891 1,251 1,529 1,971 2,409 3,753 4,587 5,913 7,227 10,147 11,259 13,761 21,681 30,441 41,283 65,043 91,323 111,617 123,849 273,969 334,851 821,907 1,004,553 3,013,659 9,040,977

Collatz Trajectory (256 steps to reach 1)

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

9,040,977 27,122,932 13,561,466 6,780,733 20,342,200 10,171,100 5,085,550 2,542,775 7,628,326 3,814,163 11,442,490 5,721,245 17,163,736 8,581,868 4,290,934 2,145,467 6,436,402 3,218,201 9,654,604 4,827,302 2,413,651 7,240,954 3,620,477 10,861,432 5,430,716 2,715,358 1,357,679 4,073,038 2,036,519 6,109,558 3,054,779 9,164,338 4,582,169 13,746,508 6,873,254 3,436,627 10,309,882 5,154,941 15,464,824 7,732,412 3,866,206 1,933,103 5,799,310 2,899,655 8,698,966 4,349,483 13,048,450 6,524,225 19,572,676 9,786,338 4,893,169 14,679,508 7,339,754 3,669,877 11,009,632 5,504,816 2,752,408 1,376,204 688,102 344,051

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