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Atlas › Integer Profiles › Node 7,685,685

7,685,685

34 × 5 × 7 × 2711
Abundant Odd Composite

7,685,685 factors as 3^4 × 5 × 7 × 2711. Its 40 positive divisors give a proper-divisor sum of 8,065,611, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 2711
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,751,296
Proper Divisor Sum 8,065,611
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7685681 ← → #7685687

Radix Representation

Decimal 7685685
Binary 11101010100011000110101 (23 bits)
Octal 0o35243065
Hexadecimal 0x754635

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2,711 2,835 8,133 13,555 18,977 24,399 40,665 56,931 73,197 94,885 121,995 170,793 219,591 284,655 365,985 512,379 853,965 1,097,955 1,537,137 2,561,895 7,685,685

Collatz Trajectory (124 steps to reach 1)

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

7,685,685 23,057,056 11,528,528 5,764,264 2,882,132 1,441,066 720,533 2,161,600 1,080,800 540,400 270,200 135,100 67,550 33,775 101,326 50,663 151,990 75,995 227,986 113,993 341,980 170,990 85,495 256,486 128,243 384,730 192,365 577,096 288,548 144,274 72,137 216,412 108,206 54,103 162,310 81,155 243,466 121,733 365,200 182,600 91,300 45,650 22,825 68,476 34,238 17,119 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752

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