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Atlas › Integer Profiles › Node 13,946,188

13,946,188

22 × 17 × 23 × 37 × 241
Deficient Even Composite

13,946,188 factors as 2^2 × 17 × 23 × 37 × 241. Its 48 positive divisors give a proper-divisor sum of 13,862,516, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 37 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,808,704
Proper Divisor Sum 13,862,516
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #13946183 ← → #13946201

Radix Representation

Decimal 13946188
Binary 110101001100110101001100 (24 bits)
Octal 0o65146514
Hexadecimal 0xD4CD4C

Divisor Catalog (48)

1 2 4 17 23 34 37 46 68 74 92 148 241 391 482 629 782 851 964 1,258 1,564 1,702 2,516 3,404 4,097 5,543 8,194 8,917 11,086 14,467 16,388 17,834 22,172 28,934 35,668 57,868 94,231 151,589 188,462 205,091 303,178 376,924 410,182 606,356 820,364 3,486,547 6,973,094 13,946,188

Collatz Trajectory (192 steps to reach 1)

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

13,946,188 6,973,094 3,486,547 10,459,642 5,229,821 15,689,464 7,844,732 3,922,366 1,961,183 5,883,550 2,941,775 8,825,326 4,412,663 13,237,990 6,618,995 19,856,986 9,928,493 29,785,480 14,892,740 7,446,370 3,723,185 11,169,556 5,584,778 2,792,389 8,377,168 4,188,584 2,094,292 1,047,146 523,573 1,570,720 785,360 392,680 196,340 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744

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