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Atlas › Integer Profiles › Node 28,294,956

28,294,956

22 × 32 × 79 × 9949
Abundant Even Composite

28,294,956 factors as 2^2 × 3^2 × 79 × 9949. Its 36 positive divisors give a proper-divisor sum of 44,141,044, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 79 × 9949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 72,436,000
Proper Divisor Sum 44,141,044
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #28294927 ← → #28294957

Radix Representation

Decimal 28294956
Binary 1101011111011111100101100 (25 bits)
Octal 0o153737454
Hexadecimal 0x1AFBF2C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1,422 2,844 9,949 19,898 29,847 39,796 59,694 89,541 119,388 179,082 358,164 785,971 1,571,942 2,357,913 3,143,884 4,715,826 7,073,739 9,431,652 14,147,478 28,294,956

Collatz Trajectory (74 steps to reach 1)

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

28,294,956 14,147,478 7,073,739 21,221,218 10,610,609 31,831,828 15,915,914 7,957,957 23,873,872 11,936,936 5,968,468 2,984,234 1,492,117 4,476,352 2,238,176 1,119,088 559,544 279,772 139,886 69,943 209,830 104,915 314,746 157,373 472,120 236,060 118,030 59,015 177,046 88,523 265,570 132,785 398,356 199,178 99,589 298,768 149,384 74,692 37,346 18,673 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832

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