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Atlas › Integer Profiles › Node 6,218,096

6,218,096

24 × 23 × 61 × 277
Abundant Even Composite

6,218,096 factors as 2^4 × 23 × 61 × 277. Its 40 positive divisors give a proper-divisor sum of 6,605,488, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 61 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,823,584
Proper Divisor Sum 6,605,488
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6218089 ← → #6218099

Radix Representation

Decimal 6218096
Binary 10111101110000101110000 (23 bits)
Octal 0o27560560
Hexadecimal 0x5EE170

Divisor Catalog (40)

1 2 4 8 16 23 46 61 92 122 184 244 277 368 488 554 976 1,108 1,403 2,216 2,806 4,432 5,612 6,371 11,224 12,742 16,897 22,448 25,484 33,794 50,968 67,588 101,936 135,176 270,352 388,631 777,262 1,554,524 3,109,048 6,218,096

Collatz Trajectory (121 steps to reach 1)

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

6,218,096 3,109,048 1,554,524 777,262 388,631 1,165,894 582,947 1,748,842 874,421 2,623,264 1,311,632 655,816 327,908 163,954 81,977 245,932 122,966 61,483 184,450 92,225 276,676 138,338 69,169 207,508 103,754 51,877 155,632 77,816 38,908 19,454 9,727 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662

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