716,623

19 × 37717

716,623 factors as 19 × 37717. Its 4 positive divisors give a proper-divisor sum of 37,737, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 19 × 37717

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 754,360

Proper Divisor Sum 37,737

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #716621 ← → #716629

Radix Representation

Decimal	716623
Binary	10101110111101001111 (20 bits)
Octal	0o2567517
Hexadecimal	0xAEF4F

Divisor Catalog (4)

1 19 37,717 716,623

Collatz Trajectory (198 steps to reach 1)

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

716,623 2,149,870 1,074,935 3,224,806 1,612,403 4,837,210 2,418,605 7,255,816 3,627,908 1,813,954 906,977 2,720,932 1,360,466 680,233 2,040,700 1,020,350 510,175 1,530,526 765,263 2,295,790 1,147,895 3,443,686 1,721,843 5,165,530 2,582,765 7,748,296 3,874,148 1,937,074 968,537 2,905,612 1,452,806 726,403 2,179,210 1,089,605 3,268,816 1,634,408 817,204 408,602 204,301 612,904 306,452 153,226 76,613 229,840 114,920 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546

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