801,948

2² × 3 × 7 × 9547

801,948 factors as 2^2 × 3 × 7 × 9547. Its 24 positive divisors give a proper-divisor sum of 1,336,804, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 9547

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,138,752

Proper Divisor Sum 1,336,804

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #801947 ← → #801949

Radix Representation

Decimal	801948
Binary	11000011110010011100 (20 bits)
Octal	0o3036234
Hexadecimal	0xC3C9C

Divisor Catalog (24)

Collatz Trajectory (162 steps to reach 1)

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

801,948 400,974 200,487 601,462 300,731 902,194 451,097 1,353,292 676,646 338,323 1,014,970 507,485 1,522,456 761,228 380,614 190,307 570,922 285,461 856,384 428,192 214,096 107,048 53,524 26,762 13,381 40,144 20,072 10,036 5,018 2,509 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #801,947 Browse Full Index Next Integer #801,949 →