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Atlas › Integer Profiles › Node 1,964,898

1,964,898

2 × 35 × 13 × 311
Abundant Even Composite

1,964,898 factors as 2 × 3^5 × 13 × 311. Its 48 positive divisors give a proper-divisor sum of 2,804,958, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 13 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,769,856
Proper Divisor Sum 2,804,958
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #1964887 ← → #1964899

Radix Representation

Decimal 1964898
Binary 111011111101101100010 (21 bits)
Octal 0o7375542
Hexadecimal 0x1DFB62

Divisor Catalog (48)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 311 351 486 622 702 933 1,053 1,866 2,106 2,799 3,159 4,043 5,598 6,318 8,086 8,397 12,129 16,794 24,258 25,191 36,387 50,382 72,774 75,573 109,161 151,146 218,322 327,483 654,966 982,449 1,964,898

Collatz Trajectory (78 steps to reach 1)

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

1,964,898 982,449 2,947,348 1,473,674 736,837 2,210,512 1,105,256 552,628 276,314 138,157 414,472 207,236 103,618 51,809 155,428 77,714 38,857 116,572 58,286 29,143 87,430 43,715 131,146 65,573 196,720 98,360 49,180 24,590 12,295 36,886 18,443 55,330 27,665 82,996 41,498 20,749 62,248 31,124 15,562 7,781 23,344 11,672 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58

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