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Atlas › Integer Profiles › Node 6,998,530

6,998,530

2 × 5 × 7 × 11 × 61 × 149
Abundant Even Composite

6,998,530 factors as 2 × 5 × 7 × 11 × 61 × 149. Its 64 positive divisors give a proper-divisor sum of 9,071,870, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 61 × 149
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,070,400
Proper Divisor Sum 9,071,870
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6998501 ← → #6998533

Radix Representation

Decimal 6998530
Binary 11010101100101000000010 (23 bits)
Octal 0o32545002
Hexadecimal 0x6ACA02

Divisor Catalog (60 of 64)

1 2 5 7 10 11 14 22 35 55 61 70 77 110 122 149 154 298 305 385 427 610 671 745 770 854 1,043 1,342 1,490 1,639 2,086 2,135 3,278 3,355 4,270 4,697 5,215 6,710 8,195 9,089 9,394 10,430 11,473 16,390 18,178 22,946 23,485 45,445 46,970 57,365 63,623 90,890 99,979 114,730 127,246 199,958 318,115 499,895 636,230 699,853

Collatz Trajectory (129 steps to reach 1)

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

6,998,530 3,499,265 10,497,796 5,248,898 2,624,449 7,873,348 3,936,674 1,968,337 5,905,012 2,952,506 1,476,253 4,428,760 2,214,380 1,107,190 553,595 1,660,786 830,393 2,491,180 1,245,590 622,795 1,868,386 934,193 2,802,580 1,401,290 700,645 2,101,936 1,050,968 525,484 262,742 131,371 394,114 197,057 591,172 295,586 147,793 443,380 221,690 110,845 332,536 166,268 83,134 41,567 124,702 62,351 187,054 93,527 280,582 140,291 420,874 210,437 631,312 315,656 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390

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