716,744

2³ × 7 × 12799

716,744 is even and not a perfect square. Its factorization is 2^3 × 7 × 12799 and its 16 divisors sum to 1,536,000.

Prime Factor Structure

Factorization String 2^3 × 7 × 12799

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,536,000

Proper Divisor Sum 819,256

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #716743 ← → #716747

Radix Representation

Decimal	716744
Binary	10101110111111001000 (20 bits)
Octal	0o2567710
Hexadecimal	0xAEFC8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 12,799 25,598 51,196 89,593 102,392 179,186 358,372 716,744

Collatz Trajectory (74 steps to reach 1)

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

716,744 358,372 179,186 89,593 268,780 134,390 67,195 201,586 100,793 302,380 151,190 75,595 226,786 113,393 340,180 170,090 85,045 255,136 127,568 63,784 31,892 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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