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Atlas › Integer Profiles › Node 8,973,055

8,973,055

5 × 7 × 132 × 37 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 13^2 × 37 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,019,264
Proper Divisor Sum 5,046,209
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8973049 ← → #8973061

Radix Representation

Decimal 8973055
Binary 100010001110101011111111 (24 bits)
Octal 0o42165377
Hexadecimal 0x88EAFF

Divisor Catalog (48)

1 5 7 13 35 37 41 65 91 169 185 205 259 287 455 481 533 845 1,183 1,295 1,435 1,517 2,405 2,665 3,367 3,731 5,915 6,253 6,929 7,585 10,619 16,835 18,655 19,721 31,265 34,645 43,771 48,503 53,095 98,605 138,047 218,855 242,515 256,373 690,235 1,281,865 1,794,611 8,973,055

Collatz Trajectory (150 steps to reach 1)

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

8,973,055 26,919,166 13,459,583 40,378,750 20,189,375 60,568,126 30,284,063 90,852,190 45,426,095 136,278,286 68,139,143 204,417,430 102,208,715 306,626,146 153,313,073 459,939,220 229,969,610 114,984,805 344,954,416 172,477,208 86,238,604 43,119,302 21,559,651 64,678,954 32,339,477 97,018,432 48,509,216 24,254,608 12,127,304 6,063,652 3,031,826 1,515,913 4,547,740 2,273,870 1,136,935 3,410,806 1,705,403 5,116,210 2,558,105 7,674,316 3,837,158 1,918,579 5,755,738 2,877,869 8,633,608 4,316,804 2,158,402 1,079,201 3,237,604 1,618,802 809,401 2,428,204 1,214,102 607,051 1,821,154 910,577 2,731,732 1,365,866 682,933 2,048,800

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