711,486

2 × 3² × 29² × 47

711,486 factors as 2 × 3^2 × 29^2 × 47. Its 36 positive divisors give a proper-divisor sum of 919,026, so this integer is abundant. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 29^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,630,512

Proper Divisor Sum 919,026

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #711479 ← → #711497

Radix Representation

Decimal	711486
Binary	10101101101100111110 (20 bits)
Octal	0o2555476
Hexadecimal	0xADB3E

Divisor Catalog (36)

1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 522 841 846 1,363 1,682 2,523 2,726 4,089 5,046 7,569 8,178 12,267 15,138 24,534 39,527 79,054 118,581 237,162 355,743 711,486

Collatz Trajectory (260 steps to reach 1)

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

711,486 355,743 1,067,230 533,615 1,600,846 800,423 2,401,270 1,200,635 3,601,906 1,800,953 5,402,860 2,701,430 1,350,715 4,052,146 2,026,073 6,078,220 3,039,110 1,519,555 4,558,666 2,279,333 6,838,000 3,419,000 1,709,500 854,750 427,375 1,282,126 641,063 1,923,190 961,595 2,884,786 1,442,393 4,327,180 2,163,590 1,081,795 3,245,386 1,622,693 4,868,080 2,434,040 1,217,020 608,510 304,255 912,766 456,383 1,369,150 684,575 2,053,726 1,026,863 3,080,590 1,540,295 4,620,886 2,310,443 6,931,330 3,465,665 10,396,996 5,198,498 2,599,249 7,797,748 3,898,874 1,949,437 5,848,312

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #711,485 Browse Full Index Next Integer #711,487 →