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Atlas › Integer Profiles › Node 10,479,213

10,479,213

34 × 53 × 2441
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 53 × 2441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,956,028
Proper Divisor Sum 5,476,815
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10479199 ← → #10479221

Radix Representation

Decimal 10479213
Binary 100111111110011001101101 (24 bits)
Octal 0o47763155
Hexadecimal 0x9FE66D

Divisor Catalog (20)

1 3 9 27 53 81 159 477 1,431 2,441 4,293 7,323 21,969 65,907 129,373 197,721 388,119 1,164,357 3,493,071 10,479,213

Collatz Trajectory (295 steps to reach 1)

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

10,479,213 31,437,640 15,718,820 7,859,410 3,929,705 11,789,116 5,894,558 2,947,279 8,841,838 4,420,919 13,262,758 6,631,379 19,894,138 9,947,069 29,841,208 14,920,604 7,460,302 3,730,151 11,190,454 5,595,227 16,785,682 8,392,841 25,178,524 12,589,262 6,294,631 18,883,894 9,441,947 28,325,842 14,162,921 42,488,764 21,244,382 10,622,191 31,866,574 15,933,287 47,799,862 23,899,931 71,699,794 35,849,897 107,549,692 53,774,846 26,887,423 80,662,270 40,331,135 120,993,406 60,496,703 181,490,110 90,745,055 272,235,166 136,117,583 408,352,750 204,176,375 612,529,126 306,264,563 918,793,690 459,396,845 1,378,190,536 689,095,268 344,547,634 172,273,817 516,821,452

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