7,316,680

2³ × 5 × 7² × 3733

7,316,680 factors as 2^3 × 5 × 7^2 × 3733. Its 48 positive divisors give a proper-divisor sum of 11,838,740, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 3733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,155,420

Proper Divisor Sum 11,838,740

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7316663 ← → #7316693

Radix Representation

Decimal	7316680
Binary	11011111010010011001000 (23 bits)
Octal	0o33722310
Hexadecimal	0x6FA4C8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1,960 3,733 7,466 14,932 18,665 26,131 29,864 37,330 52,262 74,660 104,524 130,655 149,320 182,917 209,048 261,310 365,834 522,620 731,668 914,585 1,045,240 1,463,336 1,829,170 3,658,340 7,316,680

Collatz Trajectory (98 steps to reach 1)

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

7,316,680 3,658,340 1,829,170 914,585 2,743,756 1,371,878 685,939 2,057,818 1,028,909 3,086,728 1,543,364 771,682 385,841 1,157,524 578,762 289,381 868,144 434,072 217,036 108,518 54,259 162,778 81,389 244,168 122,084 61,042 30,521 91,564 45,782 22,891 68,674 34,337 103,012 51,506 25,753 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294

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