6,971,980

2² × 5 × 47 × 7417

6,971,980 factors as 2^2 × 5 × 47 × 7417. Its 24 positive divisors give a proper-divisor sum of 7,982,708, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 7417

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,954,688

Proper Divisor Sum 7,982,708

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6971963 ← → #6971981

Radix Representation

Decimal	6971980
Binary	11010100110001001001100 (23 bits)
Octal	0o32461114
Hexadecimal	0x6A624C

Divisor Catalog (24)

Collatz Trajectory (98 steps to reach 1)

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

6,971,980 3,485,990 1,742,995 5,228,986 2,614,493 7,843,480 3,921,740 1,960,870 980,435 2,941,306 1,470,653 4,411,960 2,205,980 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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