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Atlas › Integer Profiles › Node 71,479,730

71,479,730

2 × 5 × 72 × 17 × 8581
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 17 × 8581
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 158,492,376
Proper Divisor Sum 87,012,646
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #71479721 ← → #71479741

Radix Representation

Decimal 71479730
Binary 100010000101011000110110010 (27 bits)
Octal 0o420530662
Hexadecimal 0x442B1B2

Divisor Catalog (48)

1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1,190 1,666 4,165 8,330 8,581 17,162 42,905 60,067 85,810 120,134 145,877 291,754 300,335 420,469 600,670 729,385 840,938 1,021,139 1,458,770 2,042,278 2,102,345 4,204,690 5,105,695 7,147,973 10,211,390 14,295,946 35,739,865 71,479,730

Collatz Trajectory (259 steps to reach 1)

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

71,479,730 35,739,865 107,219,596 53,609,798 26,804,899 80,414,698 40,207,349 120,622,048 60,311,024 30,155,512 15,077,756 7,538,878 3,769,439 11,308,318 5,654,159 16,962,478 8,481,239 25,443,718 12,721,859 38,165,578 19,082,789 57,248,368 28,624,184 14,312,092 7,156,046 3,578,023 10,734,070 5,367,035 16,101,106 8,050,553 24,151,660 12,075,830 6,037,915 18,113,746 9,056,873 27,170,620 13,585,310 6,792,655 20,377,966 10,188,983 30,566,950 15,283,475 45,850,426 22,925,213 68,775,640 34,387,820 17,193,910 8,596,955 25,790,866 12,895,433 38,686,300 19,343,150 9,671,575 29,014,726 14,507,363 43,522,090 21,761,045 65,283,136 32,641,568 16,320,784

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