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Atlas › Integer Profiles › Node 14,113,190

14,113,190

2 × 5 × 7 × 132 × 1193
Abundant Even Composite

14,113,190 factors as 2 × 5 × 7 × 13^2 × 1193. Its 48 positive divisors give a proper-divisor sum of 17,351,098, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13^2 × 1193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,464,288
Proper Divisor Sum 17,351,098
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #14113171 ← → #14113199

Radix Representation

Decimal 14113190
Binary 110101110101100110100110 (24 bits)
Octal 0o65654646
Hexadecimal 0xD759A6

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1,183 1,193 1,690 2,366 2,386 5,915 5,965 8,351 11,830 11,930 15,509 16,702 31,018 41,755 77,545 83,510 108,563 155,090 201,617 217,126 403,234 542,815 1,008,085 1,085,630 1,411,319 2,016,170 2,822,638 7,056,595 14,113,190

Collatz Trajectory (148 steps to reach 1)

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

14,113,190 7,056,595 21,169,786 10,584,893 31,754,680 15,877,340 7,938,670 3,969,335 11,908,006 5,954,003 17,862,010 8,931,005 26,793,016 13,396,508 6,698,254 3,349,127 10,047,382 5,023,691 15,071,074 7,535,537 22,606,612 11,303,306 5,651,653 16,954,960 8,477,480 4,238,740 2,119,370 1,059,685 3,179,056 1,589,528 794,764 397,382 198,691 596,074 298,037 894,112 447,056 223,528 111,764 55,882 27,941 83,824 41,912 20,956 10,478 5,239 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488

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