716,683

11² × 5923

716,683 factors as 11^2 × 5923. Its 6 positive divisors give a proper-divisor sum of 71,209, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 11^2 × 5923

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 787,892

Proper Divisor Sum 71,209

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #716671 ← → #716687

Radix Representation

Decimal	716683
Binary	10101110111110001011 (20 bits)
Octal	0o2567613
Hexadecimal	0xAEF8B

Divisor Catalog (6)

1 11 121 5,923 65,153 716,683

Collatz Trajectory (74 steps to reach 1)

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

716,683 2,150,050 1,075,025 3,225,076 1,612,538 806,269 2,418,808 1,209,404 604,702 302,351 907,054 453,527 1,360,582 680,291 2,040,874 1,020,437 3,061,312 1,530,656 765,328 382,664 191,332 95,666 47,833 143,500 71,750 35,875 107,626 53,813 161,440 80,720 40,360 20,180 10,090 5,045 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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