723,926

2 × 7² × 83 × 89

723,926 factors as 2 × 7^2 × 83 × 89. Its 24 positive divisors give a proper-divisor sum of 568,834, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 83 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,292,760

Proper Divisor Sum 568,834

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #723923 ← → #723949

Radix Representation

Decimal	723926
Binary	10110000101111010110 (20 bits)
Octal	0o2605726
Hexadecimal	0xB0BD6

Divisor Catalog (24)

1 2 7 14 49 83 89 98 166 178 581 623 1,162 1,246 4,067 4,361 7,387 8,134 8,722 14,774 51,709 103,418 361,963 723,926

Collatz Trajectory (224 steps to reach 1)

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

723,926 361,963 1,085,890 542,945 1,628,836 814,418 407,209 1,221,628 610,814 305,407 916,222 458,111 1,374,334 687,167 2,061,502 1,030,751 3,092,254 1,546,127 4,638,382 2,319,191 6,957,574 3,478,787 10,436,362 5,218,181 15,654,544 7,827,272 3,913,636 1,956,818 978,409 2,935,228 1,467,614 733,807 2,201,422 1,100,711 3,302,134 1,651,067 4,953,202 2,476,601 7,429,804 3,714,902 1,857,451 5,572,354 2,786,177 8,358,532 4,179,266 2,089,633 6,268,900 3,134,450 1,567,225 4,701,676 2,350,838 1,175,419 3,526,258 1,763,129 5,289,388 2,644,694 1,322,347 3,967,042 1,983,521 5,950,564

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