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6,830,992

24 × 72 × 8713
Abundant Even Composite

6,830,992 factors as 2^4 × 7^2 × 8713. Its 30 positive divisors give a proper-divisor sum of 8,566,646, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 8713
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 15,397,638
Proper Divisor Sum 8,566,646
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6830959 ← → #6831007

Radix Representation

Decimal 6830992
Binary 11010000011101110010000 (23 bits)
Octal 0o32035620
Hexadecimal 0x683B90

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 8,713 17,426 34,852 60,991 69,704 121,982 139,408 243,964 426,937 487,928 853,874 975,856 1,707,748 3,415,496 6,830,992

Collatz Trajectory (160 steps to reach 1)

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

6,830,992 3,415,496 1,707,748 853,874 426,937 1,280,812 640,406 320,203 960,610 480,305 1,440,916 720,458 360,229 1,080,688 540,344 270,172 135,086 67,543 202,630 101,315 303,946 151,973 455,920 227,960 113,980 56,990 28,495 85,486 42,743 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320 86,660 43,330

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