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Atlas › Integer Profiles › Node 7,012,005

7,012,005

3 × 5 × 7 × 11 × 13 × 467
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 13 × 467
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,095,808
Proper Divisor Sum 8,083,803
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #7012003 ← → #7012009

Radix Representation

Decimal 7012005
Binary 11010101111111010100101 (23 bits)
Octal 0o32577245
Hexadecimal 0x6AFEA5

Divisor Catalog (60 of 64)

1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 467 715 1,001 1,155 1,365 1,401 2,145 2,335 3,003 3,269 5,005 5,137 6,071 7,005 9,807 15,015 15,411 16,345 18,213 25,685 30,355 35,959 42,497 49,035 66,781 77,055 91,065 107,877 127,491 179,795 200,343 212,485 333,905 467,467 539,385 637,455

Collatz Trajectory (191 steps to reach 1)

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

7,012,005 21,036,016 10,518,008 5,259,004 2,629,502 1,314,751 3,944,254 1,972,127 5,916,382 2,958,191 8,874,574 4,437,287 13,311,862 6,655,931 19,967,794 9,983,897 29,951,692 14,975,846 7,487,923 22,463,770 11,231,885 33,695,656 16,847,828 8,423,914 4,211,957 12,635,872 6,317,936 3,158,968 1,579,484 789,742 394,871 1,184,614 592,307 1,776,922 888,461 2,665,384 1,332,692 666,346 333,173 999,520 499,760 249,880 124,940 62,470 31,235 93,706 46,853 140,560 70,280 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414

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