λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,773,208

4,773,208

23 × 112 × 4931
Abundant Even Composite

4,773,208 factors as 2^3 × 11^2 × 4931. Its 24 positive divisors give a proper-divisor sum of 5,066,132, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 4931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,839,340
Proper Divisor Sum 5,066,132
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4773203 ← → #4773227

Radix Representation

Decimal 4773208
Binary 10010001101010101011000 (23 bits)
Octal 0o22152530
Hexadecimal 0x48D558

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 4,931 9,862 19,724 39,448 54,241 108,482 216,964 433,928 596,651 1,193,302 2,386,604 4,773,208

Collatz Trajectory (224 steps to reach 1)

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

4,773,208 2,386,604 1,193,302 596,651 1,789,954 894,977 2,684,932 1,342,466 671,233 2,013,700 1,006,850 503,425 1,510,276 755,138 377,569 1,132,708 566,354 283,177 849,532 424,766 212,383 637,150 318,575 955,726 477,863 1,433,590 716,795 2,150,386 1,075,193 3,225,580 1,612,790 806,395 2,419,186 1,209,593 3,628,780 1,814,390 907,195 2,721,586 1,360,793 4,082,380 2,041,190 1,020,595 3,061,786 1,530,893 4,592,680 2,296,340 1,148,170 574,085 1,722,256 861,128 430,564 215,282 107,641 322,924 161,462 80,731 242,194 121,097 363,292 181,646

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,773,207 Browse Full Index Next Integer #4,773,209 →