711,298

2 × 7 × 23 × 47²

711,298 has digital root 1. The neighboring primes are 711287 and 711299; its proper-divisor sum differs from the starting integer by -122,564.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 47^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,300,032

Proper Divisor Sum 588,734

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #711287 ← → #711299

Radix Representation

Decimal	711298
Binary	10101101101010000010 (20 bits)
Octal	0o2555202
Hexadecimal	0xADA82

Divisor Catalog (24)

1 2 7 14 23 46 47 94 161 322 329 658 1,081 2,162 2,209 4,418 7,567 15,134 15,463 30,926 50,807 101,614 355,649 711,298

Collatz Trajectory (123 steps to reach 1)

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

711,298 355,649 1,066,948 533,474 266,737 800,212 400,106 200,053 600,160 300,080 150,040 75,020 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755

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