622,377

3³ × 7 × 37 × 89

622,377 has digital root 9. The neighboring primes are 622367 and 622397; its proper-divisor sum differs from the starting integer by -150,354.

Prime Factor Structure

Factorization String 3^3 × 7 × 37 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,094,400

Proper Divisor Sum 472,023

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #622367 ← → #622397

Radix Representation

Decimal	622377
Binary	10010111111100101001 (20 bits)
Octal	0o2277451
Hexadecimal	0x97F29

Divisor Catalog (32)

1 3 7 9 21 27 37 63 89 111 189 259 267 333 623 777 801 999 1,869 2,331 2,403 3,293 5,607 6,993 9,879 16,821 23,051 29,637 69,153 88,911 207,459 622,377

Collatz Trajectory (110 steps to reach 1)

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

622,377 1,867,132 933,566 466,783 1,400,350 700,175 2,100,526 1,050,263 3,150,790 1,575,395 4,726,186 2,363,093 7,089,280 3,544,640 1,772,320 886,160 443,080 221,540 110,770 55,385 166,156 83,078 41,539 124,618 62,309 186,928 93,464 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659

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