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Atlas › Integer Profiles › Node 4,133,992

4,133,992

23 × 17 × 113 × 269
Abundant Even Composite

4,133,992 factors as 2^3 × 17 × 113 × 269. Its 32 positive divisors give a proper-divisor sum of 4,176,608, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 113 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,310,600
Proper Divisor Sum 4,176,608
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4133971 ← → #4134023

Radix Representation

Decimal 4133992
Binary 1111110001010001101000 (22 bits)
Octal 0o17612150
Hexadecimal 0x3F1468

Divisor Catalog (32)

1 2 4 8 17 34 68 113 136 226 269 452 538 904 1,076 1,921 2,152 3,842 4,573 7,684 9,146 15,368 18,292 30,397 36,584 60,794 121,588 243,176 516,749 1,033,498 2,066,996 4,133,992

Collatz Trajectory (105 steps to reach 1)

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

4,133,992 2,066,996 1,033,498 516,749 1,550,248 775,124 387,562 193,781 581,344 290,672 145,336 72,668 36,334 18,167 54,502 27,251 81,754 40,877 122,632 61,316 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243

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