638,910

2 × 3² × 5 × 31 × 229

638,910 factors as 2 × 3^2 × 5 × 31 × 229. Its 48 positive divisors give a proper-divisor sum of 1,083,330, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31 × 229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,722,240

Proper Divisor Sum 1,083,330

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #638893 ← → #638923

Radix Representation

Decimal	638910
Binary	10011011111110111110 (20 bits)
Octal	0o2337676
Hexadecimal	0x9BFBE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 229 279 310 458 465 558 687 930 1,145 1,374 1,395 2,061 2,290 2,790 3,435 4,122 6,870 7,099 10,305 14,198 20,610 21,297 35,495 42,594 63,891 70,990 106,485 127,782 212,970 319,455 638,910

Collatz Trajectory (110 steps to reach 1)

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

638,910 319,455 958,366 479,183 1,437,550 718,775 2,156,326 1,078,163 3,234,490 1,617,245 4,851,736 2,425,868 1,212,934 606,467 1,819,402 909,701 2,729,104 1,364,552 682,276 341,138 170,569 511,708 255,854 127,927 383,782 191,891 575,674 287,837 863,512 431,756 215,878 107,939 323,818 161,909 485,728 242,864 121,432 60,716 30,358 15,179 45,538 22,769 68,308 34,154 17,077 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #638,909 Browse Full Index Next Integer #638,911 →