396,819

3⁵ × 23 × 71

396,819 factors as 3^5 × 23 × 71. Its 24 positive divisors give a proper-divisor sum of 232,173, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3^5 × 23 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 628,992

Proper Divisor Sum 232,173

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #396733 ← → #396833

Radix Representation

Decimal	396819
Binary	1100000111000010011 (19 bits)
Octal	0o1407023
Hexadecimal	0x60E13

Divisor Catalog (24)

1 3 9 23 27 69 71 81 207 213 243 621 639 1,633 1,863 1,917 4,899 5,589 5,751 14,697 17,253 44,091 132,273 396,819

Collatz Trajectory (143 steps to reach 1)

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

396,819 1,190,458 595,229 1,785,688 892,844 446,422 223,211 669,634 334,817 1,004,452 502,226 251,113 753,340 376,670 188,335 565,006 282,503 847,510 423,755 1,271,266 635,633 1,906,900 953,450 476,725 1,430,176 715,088 357,544 178,772 89,386 44,693 134,080 67,040 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #396,818 Browse Full Index Next Integer #396,820 →