λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,715,992

6,715,992

23 × 3 × 233 × 1201
Abundant Even Composite

6,715,992 factors as 2^3 × 3 × 233 × 1201. Its 32 positive divisors give a proper-divisor sum of 10,160,088, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 233 × 1201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,876,080
Proper Divisor Sum 10,160,088
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6715991 ← → #6715993

Radix Representation

Decimal 6715992
Binary 11001100111101001011000 (23 bits)
Octal 0o31475130
Hexadecimal 0x667A58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 233 466 699 932 1,201 1,398 1,864 2,402 2,796 3,603 4,804 5,592 7,206 9,608 14,412 28,824 279,833 559,666 839,499 1,119,332 1,678,998 2,238,664 3,357,996 6,715,992

Collatz Trajectory (59 steps to reach 1)

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

6,715,992 3,357,996 1,678,998 839,499 2,518,498 1,259,249 3,777,748 1,888,874 944,437 2,833,312 1,416,656 708,328 354,164 177,082 88,541 265,624 132,812 66,406 33,203 99,610 49,805 149,416 74,708 37,354 18,677 56,032 28,016 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,715,991 Browse Full Index Next Integer #6,715,993 →