λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,035,784

5,035,784

23 × 13 × 41 × 1181
Abundant Even Composite

5,035,784 factors as 2^3 × 13 × 41 × 1181. Its 32 positive divisors give a proper-divisor sum of 5,389,456, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 41 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,425,240
Proper Divisor Sum 5,389,456
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5035777 ← → #5035819

Radix Representation

Decimal 5035784
Binary 10011001101011100001000 (23 bits)
Octal 0o23153410
Hexadecimal 0x4CD708

Divisor Catalog (32)

1 2 4 8 13 26 41 52 82 104 164 328 533 1,066 1,181 2,132 2,362 4,264 4,724 9,448 15,353 30,706 48,421 61,412 96,842 122,824 193,684 387,368 629,473 1,258,946 2,517,892 5,035,784

Collatz Trajectory (56 steps to reach 1)

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

5,035,784 2,517,892 1,258,946 629,473 1,888,420 944,210 472,105 1,416,316 708,158 354,079 1,062,238 531,119 1,593,358 796,679 2,390,038 1,195,019 3,585,058 1,792,529 5,377,588 2,688,794 1,344,397 4,033,192 2,016,596 1,008,298 504,149 1,512,448 756,224 378,112 189,056 94,528 47,264 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 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 #5,035,783 Browse Full Index Next Integer #5,035,785 →