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Atlas › Integer Profiles › Node 7,098,910

7,098,910

2 × 5 × 7 × 13 × 29 × 269
Abundant Even Composite

7,098,910 factors as 2 × 5 × 7 × 13 × 29 × 269. Its 64 positive divisors give a proper-divisor sum of 9,230,690, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 29 × 269
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,329,600
Proper Divisor Sum 9,230,690
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7098901 ← → #7098937

Radix Representation

Decimal 7098910
Binary 11011000101001000011110 (23 bits)
Octal 0o33051036
Hexadecimal 0x6C521E

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 26 29 35 58 65 70 91 130 145 182 203 269 290 377 406 455 538 754 910 1,015 1,345 1,883 1,885 2,030 2,639 2,690 3,497 3,766 3,770 5,278 6,994 7,801 9,415 13,195 15,602 17,485 18,830 24,479 26,390 34,970 39,005 48,958 54,607 78,010 101,413 109,214 122,395 202,826 244,790 273,035 507,065 546,070 709,891

Collatz Trajectory (98 steps to reach 1)

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

7,098,910 3,549,455 10,648,366 5,324,183 15,972,550 7,986,275 23,958,826 11,979,413 35,938,240 17,969,120 8,984,560 4,492,280 2,246,140 1,123,070 561,535 1,684,606 842,303 2,526,910 1,263,455 3,790,366 1,895,183 5,685,550 2,842,775 8,528,326 4,264,163 12,792,490 6,396,245 19,188,736 9,594,368 4,797,184 2,398,592 1,199,296 599,648 299,824 149,912 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209

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