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Atlas › Integer Profiles › Node 28,109,456

28,109,456

24 × 131 × 13411
Deficient Even Composite

28,109,456 factors as 2^4 × 131 × 13411. Its 20 positive divisors give a proper-divisor sum of 26,772,448, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^4 × 131 × 13411
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 54,881,904
Proper Divisor Sum 26,772,448
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #28109447 ← → #28109461

Radix Representation

Decimal 28109456
Binary 1101011001110101010010000 (25 bits)
Octal 0o153165220
Hexadecimal 0x1ACEA90

Divisor Catalog (20)

1 2 4 8 16 131 262 524 1,048 2,096 13,411 26,822 53,644 107,288 214,576 1,756,841 3,513,682 7,027,364 14,054,728 28,109,456

Collatz Trajectory (206 steps to reach 1)

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

28,109,456 14,054,728 7,027,364 3,513,682 1,756,841 5,270,524 2,635,262 1,317,631 3,952,894 1,976,447 5,929,342 2,964,671 8,894,014 4,447,007 13,341,022 6,670,511 20,011,534 10,005,767 30,017,302 15,008,651 45,025,954 22,512,977 67,538,932 33,769,466 16,884,733 50,654,200 25,327,100 12,663,550 6,331,775 18,995,326 9,497,663 28,492,990 14,246,495 42,739,486 21,369,743 64,109,230 32,054,615 96,163,846 48,081,923 144,245,770 72,122,885 216,368,656 108,184,328 54,092,164 27,046,082 13,523,041 40,569,124 20,284,562 10,142,281 30,426,844 15,213,422 7,606,711 22,820,134 11,410,067 34,230,202 17,115,101 51,345,304 25,672,652 12,836,326 6,418,163

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