334,399

13 × 29 × 887

334,399 factors as 13 × 29 × 887. Its 8 positive divisors give a proper-divisor sum of 38,561, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 13 × 29 × 887

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 372,960

Proper Divisor Sum 38,561

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #334393 ← → #334403

Radix Representation

Decimal	334399
Binary	1010001101000111111 (19 bits)
Octal	0o1215077
Hexadecimal	0x51A3F

Divisor Catalog (8)

1 13 29 377 887 11,531 25,723 334,399

Collatz Trajectory (166 steps to reach 1)

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

334,399 1,003,198 501,599 1,504,798 752,399 2,257,198 1,128,599 3,385,798 1,692,899 5,078,698 2,539,349 7,618,048 3,809,024 1,904,512 952,256 476,128 238,064 119,032 59,516 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #334,398 Browse Full Index Next Integer #334,400 →