λ
Integer Codex

9,072,943

112 × 167 × 449
Deficient Odd Composite

For 9,072,943, the 12 positive divisors have a total of 10,054,800. Removing 9,072,943 leaves 981,857, which gives the deficient classification.

Prime Factor Structure

Factorization String 11^2 × 167 × 449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,054,800
Proper Divisor Sum 981,857
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9072923 ← → #9072949

Radix Representation

Decimal 9072943
Binary 100010100111000100101111 (24 bits)
Octal 0o42470457
Hexadecimal 0x8A712F

Divisor Catalog (12)

1 11 121 167 449 1,837 4,939 20,207 54,329 74,983 824,813 9,072,943

Collatz Trajectory (393 steps to reach 1)

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

9,072,943 27,218,830 13,609,415 40,828,246 20,414,123 61,242,370 30,621,185 91,863,556 45,931,778 22,965,889 68,897,668 34,448,834 17,224,417 51,673,252 25,836,626 12,918,313 38,754,940 19,377,470 9,688,735 29,066,206 14,533,103 43,599,310 21,799,655 65,398,966 32,699,483 98,098,450 49,049,225 147,147,676 73,573,838 36,786,919 110,360,758 55,180,379 165,541,138 82,770,569 248,311,708 124,155,854 62,077,927 186,233,782 93,116,891 279,350,674 139,675,337 419,026,012 209,513,006 104,756,503 314,269,510 157,134,755 471,404,266 235,702,133 707,106,400 353,553,200 176,776,600 88,388,300 44,194,150 22,097,075 66,291,226 33,145,613 99,436,840 49,718,420 24,859,210 12,429,605

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