λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,392,832

2,392,832

28 × 13 × 719
Abundant Even Composite

2,392,832 factors as 2^8 × 13 × 719. Its 36 positive divisors give a proper-divisor sum of 2,758,048, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^8 × 13 × 719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,150,880
Proper Divisor Sum 2,758,048
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2392811 ← → #2392849

Radix Representation

Decimal 2392832
Binary 1001001000001100000000 (22 bits)
Octal 0o11101400
Hexadecimal 0x248300

Divisor Catalog (36)

1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 719 832 1,438 1,664 2,876 3,328 5,752 9,347 11,504 18,694 23,008 37,388 46,016 74,776 92,032 149,552 184,064 299,104 598,208 1,196,416 2,392,832

Collatz Trajectory (68 steps to reach 1)

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

2,392,832 1,196,416 598,208 299,104 149,552 74,776 37,388 18,694 9,347 28,042 14,021 42,064 21,032 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,392,831 Browse Full Index Next Integer #2,392,833 →