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Atlas › Integer Profiles › Node 6,960,712

6,960,712

23 × 11 × 83 × 953
Abundant Even Composite

6,960,712 factors as 2^3 × 11 × 83 × 953. Its 32 positive divisors give a proper-divisor sum of 7,463,768, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 83 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,424,480
Proper Divisor Sum 7,463,768
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6960683 ← → #6960713

Radix Representation

Decimal 6960712
Binary 11010100011011001001000 (23 bits)
Octal 0o32433110
Hexadecimal 0x6A3648

Divisor Catalog (32)

1 2 4 8 11 22 44 83 88 166 332 664 913 953 1,826 1,906 3,652 3,812 7,304 7,624 10,483 20,966 41,932 79,099 83,864 158,198 316,396 632,792 870,089 1,740,178 3,480,356 6,960,712

Collatz Trajectory (191 steps to reach 1)

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

6,960,712 3,480,356 1,740,178 870,089 2,610,268 1,305,134 652,567 1,957,702 978,851 2,936,554 1,468,277 4,404,832 2,202,416 1,101,208 550,604 275,302 137,651 412,954 206,477 619,432 309,716 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361

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