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Atlas › Integer Profiles › Node 6,971,972

6,971,972

22 × 7 × 17 × 97 × 151
Abundant Even Composite

6,971,972 factors as 2^2 × 7 × 17 × 97 × 151. Its 48 positive divisors give a proper-divisor sum of 8,043,196, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 97 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,015,168
Proper Divisor Sum 8,043,196
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6971963 ← → #6971981

Radix Representation

Decimal 6971972
Binary 11010100110001001000100 (23 bits)
Octal 0o32461104
Hexadecimal 0x6A6244

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 97 119 151 194 238 302 388 476 604 679 1,057 1,358 1,649 2,114 2,567 2,716 3,298 4,228 5,134 6,596 10,268 11,543 14,647 17,969 23,086 29,294 35,938 46,172 58,588 71,876 102,529 205,058 248,999 410,116 497,998 995,996 1,742,993 3,485,986 6,971,972

Collatz Trajectory (98 steps to reach 1)

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

6,971,972 3,485,986 1,742,993 5,228,980 2,614,490 1,307,245 3,921,736 1,960,868 980,434 490,217 1,470,652 735,326 367,663 1,102,990 551,495 1,654,486 827,243 2,481,730 1,240,865 3,722,596 1,861,298 930,649 2,791,948 1,395,974 697,987 2,093,962 1,046,981 3,140,944 1,570,472 785,236 392,618 196,309 588,928 294,464 147,232 73,616 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229

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