λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,303,940

8,303,940

22 × 32 × 5 × 46133
Abundant Even Composite

8,303,940 factors as 2^2 × 3^2 × 5 × 46133. Its 36 positive divisors give a proper-divisor sum of 16,885,224, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 46133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,189,164
Proper Divisor Sum 16,885,224
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8303929 ← → #8303941

Radix Representation

Decimal 8303940
Binary 11111101011010101000100 (23 bits)
Octal 0o37532504
Hexadecimal 0x7EB544

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 46,133 92,266 138,399 184,532 230,665 276,798 415,197 461,330 553,596 691,995 830,394 922,660 1,383,990 1,660,788 2,075,985 2,767,980 4,151,970 8,303,940

Collatz Trajectory (168 steps to reach 1)

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

8,303,940 4,151,970 2,075,985 6,227,956 3,113,978 1,556,989 4,670,968 2,335,484 1,167,742 583,871 1,751,614 875,807 2,627,422 1,313,711 3,941,134 1,970,567 5,911,702 2,955,851 8,867,554 4,433,777 13,301,332 6,650,666 3,325,333 9,976,000 4,988,000 2,494,000 1,247,000 623,500 311,750 155,875 467,626 233,813 701,440 350,720 175,360 87,680 43,840 21,920 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,303,939 Browse Full Index Next Integer #8,303,941 →