7,086,730

2 × 5 × 7 × 29 × 3491

7,086,730 factors as 2 × 5 × 7 × 29 × 3491. Its 32 positive divisors give a proper-divisor sum of 7,998,710, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 29 × 3491

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,085,440

Proper Divisor Sum 7,998,710

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7086719 ← → #7086731

Radix Representation

Decimal	7086730
Binary	11011000010001010001010 (23 bits)
Octal	0o33021212
Hexadecimal	0x6C228A

Divisor Catalog (32)

Collatz Trajectory (222 steps to reach 1)

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

7,086,730 3,543,365 10,630,096 5,315,048 2,657,524 1,328,762 664,381 1,993,144 996,572 498,286 249,143 747,430 373,715 1,121,146 560,573 1,681,720 840,860 420,430 210,215 630,646 315,323 945,970 472,985 1,418,956 709,478 354,739 1,064,218 532,109 1,596,328 798,164 399,082 199,541 598,624 299,312 149,656 74,828 37,414 18,707 56,122 28,061 84,184 42,092 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728

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